Theorems · Definition · category theory
BialgCat.mk.noConfusion
{R : Type u} →
{inst : CommRing R} →
{P : Sort u_1} →
{carrier : Type v} →
{instRing : Ring carrier} →
{instBialgebra : Bialgebra R carrier} →
{carrier' : Type v} →
{instRing' : Ring carrier'} →
{instBialgebra' : Bialgebra R carrier'} →
{ carrier := carrier, instRing := instRing, instBialgebra := instBialgebra } =
{ carrier := carrier', instRing := instRing', instBialgebra := instBialgebra' } →
(carrier = carrier' → instRing ≍ instRing' → instBialgebra ≍ instBialgebra' → P) → P- Defined in
- Mathlib.Algebra.Category.BialgCat.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Bialgebrastatement and proof · cited by 160
- BialgCatstatement · cited by 40
- BialgCat.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- BialgCat.mk.injproof · cited by 1