Theorems · Theorem · ring theory

BialgEquiv.comp_symm

∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
  [inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : CoalgebraStruct R A] [inst_6 : CoalgebraStruct R B]
  (e : A ≃ₐc[R] B), (↑e).comp ↑e.symm = BialgHom.id R B

Defined in

Mathlib.RingTheory.Bialgebra.Equiv

Cited by

0 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraCoalgebraStructCoalgebraStruct