Theorems · Theorem · ring theory
NonAssocCommSemiring.mul_comm
∀ {α : Type u} [self : NonAssocCommSemiring α] (a b : α), a * b = b * aMultiplication is commutative in a commutative multiplicative magma.
- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- NonAssocCommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocSemiring.toMulstatement · cited by 10
- NonAssocCommSemiringstatement and proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Function.Surjective.nonAssocCommRingproof · cited by 0