Theorems · Definition · ring theory

StarRingEquiv.trans

{A : Type u_1} →
  {B : Type u_2} →
    {C : Type u_3} →
      [inst : Add A] →
        [inst_1 : Add B] →
          [inst_2 : Mul A] →
            [inst_3 : Mul B] →
              [inst_4 : Star A] →
                [inst_5 : Star B] →
                  [inst_6 : Add C] → [inst_7 : Mul C] → [inst_8 : Star C] → (A ≃⋆+* B) → (B ≃⋆+* C) → A ≃⋆+* C

Transitivity of StarRingEquiv.

Defined in

Mathlib.Algebra.Star.StarRingHom

Cited by

3 results in Mathlib

Foundations

Depth 21 from the axioms · uses Quot.sound

Assumes

AddAddMulMulStarStarAddMulStar