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Theorems · Definition · ring theory

StarMulEquiv.toMulEquiv

{A : Type u_6} →
  {B : Type u_7} → [inst : Mul A] → [inst_1 : Mul B] → [inst_2 : Star A] → [inst_3 : Star B] → (A ≃⋆* B) → A ≃* B

Reinterpret a star monoid equivalence as a MulEquiv by forgetting the interaction with the star operation.

Defined in
Mathlib.Algebra.Star.MonoidHom
Cited by
8 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
MulMulStarStar
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

StarMulEquiv.symm · cited by 14StarMulEquiv.symmStarMulEquiv.trans · cited by 5StarMulEquiv.transStarMulEquiv.coe_toMulEquiv · cited by 0StarMulEquiv.coe_toMulEqu…StarMulEquiv.toMulEquiv_symm · cited by 0StarMulEquiv.toMulEquiv_s…StarMulEquiv.toMulEquiv_trans · cited by 0StarMulEquiv.toMulEquiv_t…StarMulEquiv.leftInverse_symm · cited by 0StarMulEquiv.leftInverse_…StarMulEquiv.map_star' · cited by 0StarMulEquiv.map_star'StarMulEquiv.rightInverse_symm · cited by 0StarMulEquiv.rightInverse…StarMulEquiv.apply_symm_apply · cited by 0StarMulEquiv.apply_symm_a…StarMulEquiv.symm_apply_apply · cited by 0StarMulEquiv.symm_apply_a…MulEquiv · cited by 1142MulEquivStar · cited by 496StarStarMulEquiv · cited by 36StarMulEquivStarMulEquiv.toMulEquivCITED BYCITES

Cites3

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

  • MulEquivstatement · cited by 1,142
  • Starstatement and proof · cited by 496
  • StarMulEquivstatement and proof · cited by 36

Cited by10

Results whose statement or proof uses this declaration.