Theorems · Theorem · ring theory

StarAlgEquiv.coe_trans

∀ {R : Type u_2} {A : Type u_3} {B : Type u_4} {C : Type u_5} [inst : Add A] [inst_1 : Add B] [inst_2 : Mul A]
  [inst_3 : Mul B] [inst_4 : SMul R A] [inst_5 : SMul R B] [inst_6 : Star A] [inst_7 : Star B] [inst_8 : Add C]
  [inst_9 : Mul C] [inst_10 : SMul R C] [inst_11 : Star C] (e₁ : A ≃⋆ₐ[R] B) (e₂ : B ≃⋆ₐ[R] C),
  ⇑(e₁.trans e₂) = ⇑e₂ ∘ ⇑e₁

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses Quot.sound

Assumes

AddAddMulMulSMulSMulStarStarAddMulSMulStar