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Theorems · Theorem · ring theory

AddMonoidHom.mulLeft_eq_mulRight_iff_forall_commute

∀ {R : Type u_1} [inst : NonUnitalNonAssocSemiring R] {a : R},
  AddMonoidHom.mulLeft a = AddMonoidHom.mulRight a ↔ ∀ (b : R), Commute a b
Defined in
Mathlib.Algebra.Ring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses Quot.sound
Assumes
NonUnitalNonAssocSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddMonoid.End.mulRight_eq_mulLeft · cited by 1End.mulRight_eq_mulLeftAddMonoidHom · cited by 3230AddMonoidHomNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringCommute · cited by 639CommuteDFunLike.ext_iff · cited by 102DFunLike.ext_iffAddMonoidHom.mulLeft · cited by 23AddMonoidHom.mulLeftAddMonoidHom.mulRight · cited by 20AddMonoidHom.mulRightAddMonoidHom.mulLeft_eq_mulRi…CITED BYCITES

Cites6

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Cited by1

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