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Theorems · Theorem · group theory

MonoidWithZeroHom.map_zero

∀ {α : Type u_2} {β : Type u_3} [inst : MulZeroOneClass α] [inst_1 : MulZeroOneClass β] (f : α →*₀ β), f 0 = 0
Defined in
Mathlib.Algebra.GroupWithZero.Hom
Cited by
4 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
MulZeroOneClassMulZeroOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

EulerProduct.eulerProduct_completely_multiplicative_hasProd · cited by 3EulerProduct.eulerProduct…Quaternion.normSq_eq_zero · cited by 2Quaternion.normSq_eq_zeroEulerProduct.eulerProduct_completely_multiplicative · cited by 2EulerProduct.eulerProduct…RCLike.normSq_zero · cited by 0RCLike.normSq_zeroDFunLike.coe · cited by 62936DFunLike.coeMonoidWithZeroHom · cited by 704MonoidWithZeroHomMulZeroOneClass · cited by 184MulZeroOneClassMonoidWithZeroHom.toZeroHom · cited by 35MonoidWithZeroHom.toZeroH…ZeroHom.map_zero' · cited by 7ZeroHom.map_zero'MonoidWithZeroHom.map_zeroCITED BYCITES

Cites5

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Cited by4

Results whose statement or proof uses this declaration.