Theorems · Theorem · category theory
CoalgEquiv.toCoalgIso_inv
∀ {R : Type u} [inst : CommRing R] {X Y : Type v} [inst_1 : AddCommGroup X] [inst_2 : Module R X]
[inst_3 : AddCommGroup Y] [inst_4 : Module R Y] [inst_5 : Coalgebra R X] [inst_6 : Coalgebra R Y] (e : X ≃ₗc[R] Y),
e.toCoalgIso.inv = CoalgCat.ofHom ↑e.symm- Defined in
- Mathlib.Algebra.Category.CoalgCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- Coalgebrastatement and proof · cited by 112
- CoalgEquivstatement and proof · cited by 77
- CoalgCatstatement · cited by 63
- CoalgEquiv.symmstatement · cited by 26
- CoalgCat.ofstatement · cited by 24
- CoalgHomClass.toCoalgHomstatement · cited by 23
- CoalgEquiv.toCoalgIsostatement and proof · cited by 8
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