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Theorems · Theorem · ring theory

StarRingEquiv.apply_symm_apply

∀ {A : Type u_1} {B : Type u_2} [inst : Add A] [inst_1 : Add B] [inst_2 : Mul A] [inst_3 : Mul B] [inst_4 : Star A]
  [inst_5 : Star B] (e : A ≃⋆+* B) (x : B), e (e.symm x) = x
Defined in
Mathlib.Algebra.Star.StarRingHom
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses Quot.sound
Assumes
AddAddMulMulStarStar
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

StarAlgEquiv.apply_symm_apply · cited by 1StarAlgEquiv.apply_symm_a…DFunLike.coe · cited by 62936DFunLike.coeStar · cited by 496StarRingEquiv.apply_symm_apply · cited by 53RingEquiv.apply_symm_applyStarRingEquiv · cited by 40StarRingEquivStarRingEquiv.toRingEquiv · cited by 25StarRingEquiv.toRingEquivStarRingEquiv.symm · cited by 16StarRingEquiv.symmStarRingEquiv.apply_symm_applyCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.