Theorems · Theorem · nonassociative algebras
NonUnitalNonAssocCommSemiring.mem_center_iff
∀ {α : Type u_5} [inst : NonUnitalNonAssocCommSemiring α] (a : α),
a ∈ NonUnitalSubsemiring.center α ↔ ∀ (b : α), Commute (AddMonoid.End.mulLeft b) (AddMonoid.End.mulLeft a)- Defined in
- Mathlib.Algebra.Ring.CentroidHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- Set.rangeproof · cited by 4,705
- AddMonoidHomstatement and proof · cited by 3,230
- Commutestatement and proof · cited by 639
- Subsemiringproof · cited by 456
- NonUnitalSubsemiringstatement · cited by 201
- AddMonoid.Endstatement and proof · cited by 64
- Set.union_selfproof · cited by 32
- NonUnitalSubsemiring.centerstatement · cited by 22
- AddMonoid.End.mulLeftstatement and proof · cited by 11
- NonUnitalNonAssocCommSemiringstatement and proof · cited by 10
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