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fix(proofs): finish Isabelle base gate; descope Mizar (#280); fix verif-idris perms (#281)
## What Per the decision to **finish the Isabelle base only** and descope the rest: 1. **Isabelle base — final fixes** (from the run-#279 error list; should make the cron's Isabelle job green): - **EchidnaNat**: `mult_assoc`, `mult_distrib_left`, `mult_distrib_right` annotated `:: nat` (polymorphic over `{plus,times}`); `factorial_monotone` rewritten to derive `Suc k ≤ Suc k * factorial k` via `mult_le_mono2` + `factorial_positive` (the old calc step's `by simp` couldn't do multiplication-monotonicity). - **EchidnaList**: `list_all_filter` via `list_all_iff` + `filter_id_conv` (the `by (induction; auto)` left the `¬ P`/length case open). - Result: Basic, EchidnaList, EchidnaNat, Propositional verify on Isabelle2025-2. 2. **Descope Mizar** from the weekly cron — its `.miz` files have genuine, heterogeneous verification errors and it's the project's mock-only Tier-4 tail. Dropped the `mizar` job and `proofs/mizar/**` trigger; the `proofs-mizar` recipe stays for local use. **GroupTheory stays excluded.** Both tracked in #280 for dedicated, locally-tested repair. 3. **Fix `verif-idris` permission flakiness** (real bug from #276, now on main): when apt idris2 falls back to the source build, `sudo make install` leaves `~/.idris2` root-owned, so the recipe's unprivileged `idris2 --install echidnaabi.ipkg` failed with `Permission Denied`. `chown ~/.idris2` to the runner after install. ## Verification Isabelle can't run in the dev sandbox (`isabelle.in.tum.de` is `403`-blocked), so this is verified by the cron's Isabelle job on GitHub runners (Isabelle2025-2), iterating on the real error lists. The fixes here address the complete reported set from the prior run. Closes the proof-CI sweep for everything that verifies: Coq, Lean 4, Agda, Idris2 (+verification), Isabelle base. GroupTheory + Mizar → #280. 🤖 Generated with [Claude Code](https://claude.com/claude-code) --- _Generated by [Claude Code](https://claude.ai/code/session_01UAqDQaMwpUqWHUSZekGZWv)_ --------- Co-authored-by: Claude <noreply@anthropic.com>
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.github/workflows/dogfood-proofs-ci.yml

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@@ -193,6 +193,12 @@ jobs:
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(cd /tmp/idris2-src && make bootstrap SCHEME=scheme && sudo make install PREFIX=/usr/local)
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}
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idris2 --version
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# The source-build fallback runs `sudo make install`, which can leave
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# ~/.idris2 root-owned; `idris2 --install` (run unprivileged by the
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# proofs-verif-idris recipe) then fails with "Permission Denied". Make
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# the user package dir writable so the echidnaabi install succeeds.
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mkdir -p "$HOME/.idris2"
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sudo chown -R "$(id -u):$(id -g)" "$HOME/.idris2"
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- name: Install just
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run: |
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@@ -1,10 +1,13 @@
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# SPDX-License-Identifier: MPL-2.0
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# Weekly verification of the heavier self-proof corpora that are too slow and too
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# network-heavy to gate on every PR: Isabelle/HOL (proofs/isabelle) and Mizar
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# (proofs/mizar). Both toolchains are large, non-apt downloads -- Isabelle is a
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# ~500MB tarball and additionally builds the HOL-Algebra image; Mizar ships only
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# from mizar.org (Tier-4 in this project, see live-provers.yml) with its full MML.
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# So this runs on a weekly schedule plus manual dispatch, mirroring container-ci.
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# network-heavy to gate on every PR: currently Isabelle/HOL (proofs/isabelle). The
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# Isabelle toolchain is a large, non-apt download (~500MB tarball), so this runs on
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# a weekly schedule plus manual dispatch, mirroring container-ci.
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#
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# NOTE: the Mizar corpus (proofs/mizar) is intentionally NOT gated here yet -- its
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# .miz files have genuine verification errors and Mizar is the project's mock-only
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# Tier-4 tail; repairing + gating it is tracked separately (see issue). The
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# proofs-mizar just recipe remains for local/manual use.
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# `just` stays the single source of truth for the commands (RSR-H14): CI installs
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# the toolchains, then calls the same recipes a developer runs locally.
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name: Verification Proof Corpora (weekly)
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schedule:
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- cron: '17 4 * * 1' # Mondays 04:17 UTC
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workflow_dispatch:
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# Tightly path-filtered: a PR that actually touches these proof corpora (or this
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# Tightly path-filtered: a PR that actually touches the Isabelle corpus (or this
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# workflow) gets one confirmation run, but unrelated PRs never trigger the heavy
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# toolchains. The weekly schedule above is the primary gate; this just catches
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# direct edits to the .thy/.miz sources before they land.
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# toolchain. The weekly schedule above is the primary gate; this just catches
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# direct edits to the .thy sources before they land.
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pull_request:
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paths:
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- 'proofs/isabelle/**'
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- 'proofs/mizar/**'
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- '.github/workflows/verification-proofs-cron.yml'
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concurrency:
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- name: Verify Isabelle corpus
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run: just proofs-isabelle
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mizar:
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name: Mizar
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runs-on: ubuntu-latest
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timeout-minutes: 60
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steps:
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- uses: actions/checkout@9c091bb21b7c1c1d1991bb908d89e4e9dddfe3e0 # v7.0.0
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- name: Install Mizar (system + MML)
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run: |
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set -euo pipefail
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# Mizar ships only from mizar.org with no stable, documented path (the
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# /system/i386-linux/ guess 404s). Discover the linux tarball by scraping
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# the system index; dump candidate hrefs so one run reveals the layout if
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# discovery misses.
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# Two-stage discovery: mizar.org/system/ only links to per-arch *directories*
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# on the upstream host (http://mizar.uwb.edu.pl/.../i386-linux/); the actual
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# tarball lives inside that directory.
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sys="$(curl -fsSL --max-time 120 --retry 3 "http://mizar.org/system/" || true)"
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dir="$(printf '%s\n' "$sys" | grep -oiE 'href="http://[^"]*i386-linux/?"' \
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| sed -E 's/^href="//I; s/"$//' | head -1)"
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[ -n "$dir" ] || dir="http://mizar.uwb.edu.pl/~softadm/pub/system/i386-linux/"
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dir="${dir%/}/"
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echo "Mizar i386-linux dir: $dir"
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idx="$(curl -fsSL --max-time 120 --retry 3 "$dir" || true)"
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echo "=== .tar candidates in $dir ==="
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printf '%s\n' "$idx" | grep -oiE 'href="[^"]+"' | grep -iE '\.tar' | head -40 || true
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rel="$(printf '%s\n' "$idx" | grep -oiE 'href="[^"]*mizar-[^"]*i386-linux\.tar"' \
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| sed -E 's/^href="//I; s/"$//' | sort -V | uniq | tail -1)"
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[ -n "$rel" ] || rel="$(printf '%s\n' "$idx" | grep -oiE 'href="[^"]*\.tar"' \
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| sed -E 's/^href="//I; s/"$//' | sort -V | uniq | tail -1)"
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[ -n "$rel" ] || { echo "no Mizar .tar found in $dir" >&2; exit 1; }
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case "$rel" in http*) found="$rel" ;; /*) found="http://mizar.uwb.edu.pl$rel" ;; *) found="$dir$rel" ;; esac
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echo "Resolved Mizar URL: $found"
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curl -fsSL --max-time 600 --retry 3 -o /tmp/mizar.tar "$found"
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mkdir -p "$HOME/mizar"
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tar xf /tmp/mizar.tar -C "$HOME/mizar"
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echo "=== outer archive contents ==="; ls -la "$HOME/mizar" | head -30
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cd "$HOME/mizar"
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for inner in mizbin mizshare mizdoc; do
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for ext in tar.gz tgz tar; do
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[ -f "$inner.$ext" ] && { echo "extracting $inner.$ext"; tar xf "$inner.$ext"; }
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done
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done
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echo "=== after inner extraction ==="; ls -la "$HOME/mizar" | head -40
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# mizbin.tar.gz extracts the binaries (makeenv, accom, verifier, ...) flat
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# into $HOME/mizar alongside the MML share, so both PATH and MIZFILES point
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# at $HOME/mizar -- there is no bin/ subdir.
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echo "MIZFILES=$HOME/mizar" >> "$GITHUB_ENV"
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echo "$HOME/mizar" >> "$GITHUB_PATH"
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ls -l "$HOME/mizar/makeenv" "$HOME/mizar/verifier" "$HOME/mizar/accom"
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- name: Install just
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run: |
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set -euo pipefail
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curl -fsSL --retry 3 \
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"https://github.com/casey/just/releases/download/1.51.0/just-1.51.0-x86_64-unknown-linux-musl.tar.gz" \
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-o /tmp/just.tar.gz
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mkdir -p "$HOME/.local/bin"
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tar xzf /tmp/just.tar.gz -C "$HOME/.local/bin" just
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echo "$HOME/.local/bin" >> "$GITHUB_PATH"
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- name: Verify Mizar corpus
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run: just proofs-mizar

proofs/isabelle/EchidnaList.thy

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@@ -515,6 +515,6 @@ text \<open>
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lemma list_all_filter:
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"list_all P xs \<longleftrightarrow> filter P xs = xs"
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by (induction xs; auto)
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by (simp add: list_all_iff filter_id_conv)
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end

proofs/isabelle/EchidnaNat.thy

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\<close>
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lemma mult_assoc:
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"(m * n) * p = m * (n * p)"
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"((m::nat) * n) * p = m * (n * p)"
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by simp
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text \<open>
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Distributive law: multiplication distributes over addition.
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\<close>
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lemma mult_distrib_left:
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"m * (n + p) = m * n + m * p"
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"(m::nat) * (n + p) = m * n + m * p"
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by (simp add: ring_distribs)
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lemma mult_distrib_right:
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"(m + n) * p = m * p + n * p"
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"((m::nat) + n) * p = m * p + n * p"
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by (simp add: ring_distribs)
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section \<open>Induction Examples\<close>
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lemma factorial_monotone:
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"n > 0 \<Longrightarrow> factorial n \<ge> n"
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proof (induction n)
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proof (cases n)
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case 0
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then show ?case by simp
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then show ?thesis by simp
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next
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case (Suc n)
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show ?case
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proof (cases n)
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case 0
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then show ?thesis by simp
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next
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case (Suc m)
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have "factorial (Suc n) = Suc n * factorial n"
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by simp
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also have "... \<ge> Suc n * 1"
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using factorial_positive[of n] by simp
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also have "... = Suc n"
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by simp
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finally show ?thesis .
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qed
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case (Suc k)
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have "(1::nat) \<le> factorial k"
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using factorial_positive[of k] by simp
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hence "Suc k * 1 \<le> Suc k * factorial k"
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by (rule mult_le_mono2)
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thus ?thesis using Suc by simp
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qed
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section \<open>Power Function\<close>

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