Theorems · Theorem · category theory
BialgCat.Hom.mk.inj
∀ {R : Type u} {inst : CommRing R} {V W : BialgCat R} {toBialgHom' toBialgHom'_1 : V.carrier →ₐc[R] W.carrier},
{ toBialgHom' := toBialgHom' } = { toBialgHom' := toBialgHom'_1 } → toBialgHom' = toBialgHom'_1- Defined in
- Mathlib.Algebra.Category.BialgCat.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- BialgHomstatement and proof · cited by 190
- BialgCatstatement and proof · cited by 40
- BialgCat.carrierstatement and proof · cited by 34
- BialgCat.Homstatement · cited by 6
- BialgCat.Hom.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- BialgCat.Hom.mk.injEqproof · cited by 0