Mathlib Map

Theorems · Definition · category theory

MulEquiv.toMagmaCatIso

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

Build an isomorphism in the category MagmaCat from a MulEquiv between Muls.

Defined in
Mathlib.Algebra.Category.Semigrp.Basic
Cited by
2 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
MulMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MulEquiv.toMagmaCatIso_hom · cited by 0MulEquiv.toMagmaCatIso_homMulEquiv.toMagmaCatIso_inv · cited by 0MulEquiv.toMagmaCatIso_invmulEquivIsoMagmaIso · cited by 0mulEquivIsoMagmaIsoCategoryTheory.Iso · cited by 3963CategoryTheory.IsoMulEquiv · cited by 1142MulEquivMulEquiv.symm · cited by 482MulEquiv.symmMagmaCat · cited by 23MagmaCatMulEquiv.toMulHom · cited by 9MulEquiv.toMulHomMagmaCat.of · cited by 9MagmaCat.ofMagmaCat.ofHom · cited by 8MagmaCat.ofHomMulEquiv.toMagmaCatIsoCITED BYCITES

Cites7

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Cited by3

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