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Theorems · Inductive type · category theory

MagmaCat

Type (u + 1)

The category of magmas and magma morphisms.

Defined in
Mathlib.Algebra.Category.Semigrp.Basic
Cited by
23 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
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Around this declaration

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

MagmaCat.carrier · cited by 19MagmaCat.carrierMagmaCat.of · cited by 9MagmaCat.ofMagmaCat.ofHom · cited by 8MagmaCat.ofHomMagmaCat.Hom.hom · cited by 8Hom.homMagmaCat.Hom.ext · cited by 2Hom.extMagmaCat.Hom.hom' · cited by 2Hom.hom'MulEquiv.toMagmaCatIso · cited by 2MulEquiv.toMagmaCatIsoMagmaCat.Hom · cited by 2MagmaCat.HomMagmaCat.mk.inj · cited by 1mk.injMagmaCat.mk.noConfusion · cited by 1mk.noConfusionMagmaCat.ext · cited by 1MagmaCat.extMagmaCat.hom_ext · cited by 1MagmaCat.hom_extMagmaCat.hom_id · cited by 0MagmaCat.hom_idMagmaCat.hom_inv_apply · cited by 0MagmaCat.hom_inv_applyMagmaCat.id_apply · cited by 0MagmaCat.id_applyMagmaCatCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by44

Results whose statement or proof uses this declaration.