Theorems · Theorem · category theory
CoalgEquiv.toCoalgIso_refl
∀ {R : Type u} [inst : CommRing R] {X : Type v} [inst_1 : AddCommGroup X] [inst_2 : Module R X]
[inst_3 : Coalgebra R X], (CoalgEquiv.refl R X).toCoalgIso = CategoryTheory.Iso.refl (CoalgCat.of R X)- Defined in
- Mathlib.Algebra.Category.CoalgCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 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.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Iso.reflstatement · cited by 727
- Coalgebrastatement and proof · cited by 112
- CoalgCatstatement · cited by 63
- CoalgCat.ofstatement · cited by 24
- CoalgEquiv.toCoalgIsostatement · cited by 8
- CoalgEquiv.reflstatement · cited by 7
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