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feat(algebra/hom/centroid): Commutative Centroid of a *-ring is a *-ring #6595
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Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
This reverts commit 27acbde.
mans0954
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Mathlib/Algebra/Hom/Centroid.lean
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@@ -542,7 +542,8 @@ def star_ring (mul_comm : ∀ f g : CentroidHom α, f * g = g * f) : StarRing (C | |||
star_mul := fun f g => by | |||
rw [mul_comm] | |||
ext | |||
rw [star_apply, mul_apply, mul_apply, star_apply, star_apply, star_star] | |||
rw [star_apply, mul_apply, mul_apply, star_apply] | |||
simp |
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In the lean3 version of this PR https://github.com/leanprover-community/mathlib/pull/18096/files#diff-b9e451cbb3a5b6efa050e64d3f4896b5d3ed3c51e9f034259709f8372aaaa525R342 I could close the goal with
rw [star_apply, mul_apply, mul_apply, star_apply, star_apply, star_star]
But doing this in Mathlib4 results in:
Build: Mathlib/Algebra/Hom/Centroid.lean#L538
(deterministic) timeout at 'whnf', maximum number of heartbeats (200000) has been reached (use 'set_option maxHeartbeats <num>' to set the limit)
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This PR shows that if the centroid of a *-ring is commutative then it is a *-ring.
Previously submitted to mathlib as leanprover-community/mathlib#18096