Mathlib Map

Theorems · Theorem · group theory

MonoidWithZeroHom.ext_iff

∀ {α : Type u_2} {β : Type u_3} [inst : MulZeroOneClass α] [inst_1 : MulZeroOneClass β] {f g : α →*₀ β},
  f = g ↔ ∀ (x : α), f x = g x
Defined in
Mathlib.Algebra.GroupWithZero.Hom
Cited by
0 results in Mathlib
Foundations
Depth 12 from the axioms · uses Quot.sound
Assumes
MulZeroOneClassMulZeroOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coeMonoidWithZeroHom · cited by 704MonoidWithZeroHomMulZeroOneClass · cited by 184MulZeroOneClassMonoidWithZeroHom.ext · cited by 15MonoidWithZeroHom.extMonoidWithZeroHom.ext_iffCITED BYCITES

Cites4

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.