Theorems · Theorem · group theory
MonoidWithZeroHom.coe_mk
∀ {α : Type u_2} {β : Type u_3} [inst : MulZeroOneClass α] [inst_1 : MulZeroOneClass β] (f : ZeroHom α 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
- 7 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidWithZeroHomstatement · cited by 704
- MulZeroOneClassstatement and proof · cited by 184
- ZeroHomstatement and proof · cited by 161
- ZeroHom.toFunstatement and proof · cited by 101
Cited by7
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.normAtPlace_nonnegproof · cited by 11
- NumberField.mixedEmbedding.normAtPlace_apply_of_isComplexproof · cited by 9
- NumberField.mixedEmbedding.normAtPlace_apply_of_isRealproof · cited by 8
- NumberField.mixedEmbedding.normAtPlace_smulproof · cited by 5
- FractionalIdeal.absNorm_eq'proof · cited by 2
- NumberField.mixedEmbedding.normAtPlace_add_leproof · cited by 1
- NumberField.mixedEmbedding.normAtPlace_negproof · cited by 1