Theorems · Theorem · category theory

CoalgEquiv.toCoalgIso_trans

∀ {R : Type u} [inst : CommRing R] {X Y Z : Type v} [inst_1 : AddCommGroup X] [inst_2 : Module R X]
  [inst_3 : AddCommGroup Y] [inst_4 : Module R Y] [inst_5 : AddCommGroup Z] [inst_6 : Module R Z]
  [inst_7 : Coalgebra R X] [inst_8 : Coalgebra R Y] [inst_9 : Coalgebra R Z] (e : X ≃ₗc[R] Y) (f : Y ≃ₗc[R] Z),
  (e.trans f).toCoalgIso = e.toCoalgIso ≪≫ f.toCoalgIso

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

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleAddCommGroupModuleCoalgebraCoalgebraCoalgebra