Theorems · Theorem · category theory
BialgEquiv.toBialgIso_trans
∀ {R : Type u} [inst : CommRing R] {X Y Z : Type v} [inst_1 : Ring X] [inst_2 : Ring Y] [inst_3 : Ring Z]
[inst_4 : Bialgebra R X] [inst_5 : Bialgebra R Y] [inst_6 : Bialgebra R Z] (e : X ≃ₐc[R] Y) (f : Y ≃ₐc[R] Z),
(e.trans f).toBialgIso = e.toBialgIso ≪≫ f.toBialgIso- Defined in
- Mathlib.Algebra.Category.BialgCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Ringstatement and proof · cited by 7,463
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Iso.transstatement · cited by 566
- Bialgebrastatement and proof · cited by 160
- BialgEquivstatement and proof · cited by 88
- BialgCatstatement · cited by 40
- BialgCat.ofstatement · cited by 17
- BialgEquiv.transstatement · cited by 8
- BialgEquiv.toBialgIsostatement · cited by 8
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