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Theorems · Theorem · category theory

AlgCat.inv_hom_apply

∀ (R : Type u) [inst : CommRing R] {A B : AlgCat R} (e : A ≅ B) (x : ↑A),
  (CategoryTheory.ConcreteCategory.hom e.inv) ((CategoryTheory.ConcreteCategory.hom e.hom) x) = x
Defined in
Mathlib.Algebra.Category.AlgCat.Basic
Cited by
0 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homCategoryTheory.Iso · cited by 3963CategoryTheory.IsoAlgHom · cited by 3236AlgHomAlgCat · cited by 75AlgCatAlgCat.carrier · cited by 61AlgCat.carrierCategoryTheory.Iso.hom_inv_id_apply · cited by 50Iso.hom_inv_id_applyAlgCat.inv_hom_applyCITED BYCITES

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