Theorems · Theorem · ring theory

Equiv.coalgebraIsCocomm

∀ (R : Type u_1) {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid B] [inst_2 : Module R B]
  [inst_3 : Coalgebra R B] [Coalgebra.IsCocomm R B] (e : A ≃ B), Coalgebra.IsCocomm R A

Transfer Coalgebra.IsCocomm across an Equiv.

Defined in

Mathlib.RingTheory.Coalgebra.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommSemiringAddCommMonoidModuleCoalgebraCoalgebra.IsCocomm