Theorems · Definition · category theory
AddEquiv.toAddSemigrpIso
{X Y : Type u} → [inst : AddSemigroup X] → [inst_1 : AddSemigroup Y] → X ≃+ Y → (AddSemigrp.of X ≅ AddSemigrp.of Y)Build an isomorphism in the category
AddSemigroup from an AddEquiv between AddSemigroups.
- Defined in
- Mathlib.Algebra.Category.Semigrp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- AddSemigroupAddSemigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Isostatement · cited by 3,963
- AddEquivstatement and proof · cited by 1,087
- AddEquiv.symmproof · cited by 530
- AddSemigroupstatement and proof · cited by 136
- AddSemigrpstatement · cited by 25
- AddEquiv.toAddHomproof · cited by 10
- AddSemigrp.ofstatement · cited by 9
- AddSemigrp.ofHomproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- AddEquiv.toAddSemigrpIso_homstatement and proof · cited by 0
- AddEquiv.toAddSemigrpIso_invstatement and proof · cited by 0
- addEquivIsoAddSemigrpIsoproof · cited by 0