chore(Geometry/Euclidean/Sphere): drop unneeded distinctness hypothesis#41582
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chore(Geometry/Euclidean/Sphere): drop unneeded distinctness hypothesis#41582kim-em wants to merge 1 commit into
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The iff in `Sphere.center_mem_affineSpan_pair_iff_isDiameter` also holds when the two points coincide, matching the neighbouring `isDiameter_iff_*` lemmas which carry no distinctness hypotheses. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
PR summary b22e721b7fImport changes for modified filesNo significant changes to the import graph Import changes for all files
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This PR removes the
p₁ ≠ p₂hypothesis fromSphere.center_mem_affineSpan_pair_iff_isDiameter: the iff also holds when the points coincide (both sides then sayp₁ = s.center), and the neighbouringisDiameter_iff_*lemmas carry no distinctness hypotheses. The degenerate case is handled by a one-linesimp.Follow-up to #41143 (feat(Geometry/Euclidean/Sphere): lemmas about points on a sphere).
🤖 Prepared with Claude Code