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Theorems · Theorem · category theory

MonCat.adjoinOne_map

∀ {X Y : Semigrp} (f : X ⟶ Y), MonCat.adjoinOne.map f = MonCat.ofHom (WithOne.mapMulHom (Semigrp.Hom.hom f))
Defined in
Mathlib.Algebra.Category.MonCat.Adjunctions
Cited by
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Foundations
Depth 22 from the axioms · uses propext, Quot.sound
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Around this declaration

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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.map · cited by 8698Functor.mapMonCat · cited by 127MonCatWithOne · cited by 49WithOneSemigrp · cited by 25SemigrpMonCat.ofHom · cited by 24MonCat.ofHomMonCat.of · cited by 22MonCat.ofSemigrp.carrier · cited by 21Semigrp.carrierSemigrp.Hom.hom · cited by 9Hom.homWithOne.mapMulHom · cited by 9WithOne.mapMulHomMonCat.adjoinOne · cited by 2MonCat.adjoinOneMonCat.adjoinOne_mapCITED BYCITES

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