Theorems · Theorem · group theory

MonoidWithZeroHom.mk_coe

∀ {α : Type u_2} {β : Type u_3} [inst : MulZeroOneClass α] [inst_1 : MulZeroOneClass β] (f : α →*₀ β)
  (h1 : (↑f).toFun 1 = 1) (hmul : ∀ (x y : α), (↑f).toFun (x * y) = (↑f).toFun x * (↑f).toFun y),
  { toZeroHom := ↑f, map_one' := h1, map_mul' := hmul } = f

Defined in: Mathlib.Algebra.GroupWithZero.Hom
Cited by: 0 results in Mathlib
Foundations: Depth 12 from the axioms · uses Quot.sound
Assumes: MulZeroOneClass MulZeroOneClass

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MonoidWithZeroHomstatement and proof · cited by 704
MulZeroOneClassstatement and proof · cited by 184
ZeroHom.toFunstatement and proof · cited by 101
MonoidWithZeroHom.extproof · cited by 15
ZeroHomClass.toZeroHomstatement and proof · cited by 3

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