Theorems · Theorem · commutative algebra
SemiRingCat.hom_inv_apply
∀ {R S : SemiRingCat} (e : R ≅ S) (s : ↑S),
(CategoryTheory.ConcreteCategory.hom e.hom) ((CategoryTheory.ConcreteCategory.hom e.inv) s) = s- Defined in
- Mathlib.Algebra.Category.Ring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Iso.inv_hom_id_applyproof · cited by 53
- SemiRingCatstatement and proof · cited by 27
- SemiRingCat.carrierstatement and proof · cited by 22
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