Theorems · Theorem · ring theory
NonUnitalNonAssocRing.mul_zero
∀ {α : Type u} [self : NonUnitalNonAssocRing α] (a : α), a * 0 = 0Zero is a right absorbing element for multiplication
- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocRingstatement and proof · cited by 354
- AddMonoid.toZerostatement · cited by 325
- NonUnitalNonAssocRing.toMulstatement · cited by 23
Cited by9
Results whose statement or proof uses this declaration.
- NonAssocRing.extproof · cited by 4
- NonUnitalCommCStarAlgebra.toStarRingstatement · cited by 2
- NonUnitalCStarAlgebra.mk.noConfusionstatement · cited by 0
- NonUnitalCommCStarAlgebra.toStarModulestatement · cited by 0
- NonUnitalCStarAlgebra.recOnstatement · cited by 0
- NonUnitalCommCStarAlgebra.mk.noConfusionstatement · cited by 0
- NonUnitalCommCStarAlgebra.casesOnstatement · cited by 0
- NonUnitalCommCStarAlgebra.recOnstatement · cited by 0
- NonUnitalCStarAlgebra.casesOnstatement · cited by 0