Mathlib Map

Theorems · Definition

Equiv.monoidWithZero

{α : Type u} → {β : Type v} → α ≃ β → [MonoidWithZero β] → MonoidWithZero α

Transfer MonoidWithZero across an Equiv

Defined in
Mathlib.Algebra.GroupWithZero.TransferInstance
Cited by
0 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
MonoidWithZero
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Around this declaration

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

Equiv.commMonoidWithZero · cited by 0Equiv.commMonoidWithZeroDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivEquiv.injective · cited by 464Equiv.injectiveMonoidWithZero · cited by 456MonoidWithZeroMulZeroOneClass · cited by 184MulZeroOneClassEquiv.pow · cited by 1Equiv.powEquiv.mulZeroOneClass · cited by 0Equiv.mulZeroOneClassFunction.Injective.monoidWithZero · cited by 0Injective.monoidWithZeroEquiv.monoidWithZeroCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.