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set_option
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Mathlib/Algebra/Quaternion.lean

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@@ -748,7 +748,10 @@ protected instance algebra [CommSemiring S] [Algebra S R] : Algebra S ℍ[R] :=
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inferInstanceAs <| Algebra S ℍ[R,-1,0,-1]
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instance : Star ℍ[R] := QuaternionAlgebra.instStarQuaternionAlgebra
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instance : StarRing ℍ[R] := QuaternionAlgebra.instStarRing
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set_option backward.isDefEq.respectTransparency.types false in
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instance : IsStarNormal a := inferInstanceAs <| IsStarNormal (R := ℍ[R,-1,0,-1]) a
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@[ext]

Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Restrict.lean

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@@ -25,6 +25,8 @@ simply by proving:
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2. `0 ≤ x ↔ IsSelfAdjoint x ∧ SpectrumRestricts Real.toNNReal x`.
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-/
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set_option backward.isDefEq.respectTransparency.types false
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@[expose] public section
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open Set Topology

Mathlib/CategoryTheory/Equivalence.lean

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@@ -58,6 +58,8 @@ We write `C ≌ D` (`\backcong`, not to be confused with `≅`/`\cong`) for a bu
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-/
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set_option backward.isDefEq.respectTransparency.types false
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@[expose] public section
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namespace CategoryTheory

Mathlib/Combinatorics/SimpleGraph/Walk/Operations.lean

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@@ -28,6 +28,8 @@ Operations on walks that produce a new walk in the same graph.
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walks
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-/
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set_option backward.isDefEq.respectTransparency.types false
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@[expose] public section
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open Function

Mathlib/Order/DirectedInverseSystem.lean

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@@ -350,6 +350,8 @@ theorem piEquivSucc_self {x} :
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simp [piEquivSucc]
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variable {equiv e}
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set_option backward.isDefEq.respectTransparency.types false in
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theorem isNatEquiv_piEquivSucc [InverseSystem f] (H : ∀ x, (e x).1 = f (le_succ i) x)
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(nat : IsNatEquiv f equiv) : IsNatEquiv f (piEquivSucc equiv e hi) := fun j k hj hk h x ↦ by
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have lt_succ {j} := (lt_succ_iff_of_not_isMax (b := j) hi).mpr
@@ -445,6 +447,7 @@ theorem pEquivOn_apply_eq (h : IsLowerSet (s ∩ t))
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(e₂.restrict inter_subset_right).equiv ⟨i, his, hit⟩ from
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congr_fun (congr_arg _ <| unique_pEquivOn h) _
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set_option backward.isDefEq.respectTransparency.types false in
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/-- Extend a partial family of bijections by one step. -/
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def pEquivOnSucc [InverseSystem f] (hi : ¬IsMax i) (e : PEquivOn f equivSucc (Iic i))
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(H : ∀ ⦃i⦄ (hi : ¬ IsMax i) x, (equivSucc hi x).1 = f (le_succ i) x) :

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