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Theorems · Definition · category theory

MagmaCat.ofHom

{X Y : Type u} → [inst : Mul X] → [inst_1 : Mul Y] → (X →ₙ* Y) → (MagmaCat.of X ⟶ MagmaCat.of Y)

Typecheck a MulHom as a morphism in MagmaCat.

Defined in
Mathlib.Algebra.Category.Semigrp.Basic
Cited by
8 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext
Assumes
MulMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MulEquiv.toMagmaCatIso · cited by 2MulEquiv.toMagmaCatIsoMagmaCat.hom_ofHom · cited by 0MagmaCat.hom_ofHomMagmaCat.mulEquiv_coe_eq · cited by 0MagmaCat.mulEquiv_coe_eqMagmaCat.ofHom_apply · cited by 0MagmaCat.ofHom_applyMagmaCat.ofHom_comp · cited by 0MagmaCat.ofHom_compMagmaCat.ofHom_hom · cited by 0MagmaCat.ofHom_homMagmaCat.ofHom_id · cited by 0MagmaCat.ofHom_idMulEquiv.toMagmaCatIso_hom · cited by 0MulEquiv.toMagmaCatIso_homMulEquiv.toMagmaCatIso_inv · cited by 0MulEquiv.toMagmaCatIso_invQuiver.Hom · cited by 32603Quiver.HomMulHom · cited by 299MulHomMagmaCat · cited by 23MagmaCatCategoryTheory.ConcreteCategory.ofHom · cited by 18ConcreteCategory.ofHomMagmaCat.of · cited by 9MagmaCat.ofMagmaCat.ofHomCITED BYCITES

Cites5

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

Cited by9

Results whose statement or proof uses this declaration.