Theorems · Definition · ring theory

StarMulEquiv.trans

{A : Type u_2} →
  {B : Type u_3} →
    {C : Type u_4} →
      [inst : Mul A] →
        [inst_1 : Mul B] →
          [inst_2 : Mul C] → [inst_3 : Star A] → [inst_4 : Star B] → [inst_5 : Star C] → (A ≃⋆* B) → (B ≃⋆* C) → A ≃⋆* C

Transitivity of StarMulEquiv.

Defined in: Mathlib.Algebra.Star.MonoidHom
Cited by: 5 results in Mathlib
Foundations: Depth 20 from the axioms · uses Quot.sound
Assumes: Mul Mul Mul Star Star Star

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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

MulEquivproof · cited by 1,142
Starstatement and proof · cited by 496
MulEquiv.transproof · cited by 53
StarMulEquivstatement and proof · cited by 36
StarMulEquiv.toMulEquivproof · cited by 8

Cited by5

Results whose statement or proof uses this declaration.

StarMulEquiv.symm_trans_applystatement · cited by 0
StarMulEquiv.coe_transstatement · cited by 0
StarMulEquiv.toMulEquiv_transstatement · cited by 0
Unitary.mapEquiv_transstatement · cited by 0
StarMulEquiv.trans_applystatement · cited by 0