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Theorems · Definition · ring theory

StarAlgEquiv.refl

(R : Type u_2) →
  (A : Type u_3) → [inst : Add A] → [inst_1 : Mul A] → [inst_2 : SMul R A] → [inst_3 : Star A] → A ≃⋆ₐ[R] A

The identity map is a star algebra isomorphism.

Defined in
Mathlib.Algebra.Star.StarAlgHom
Cited by
9 results in Mathlib
Foundations
Depth 17 from the axioms · uses no axioms
Assumes
AddMulSMulStar
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

StarAlgEquiv.coe_refl · cited by 0StarAlgEquiv.coe_reflStarAlgEquiv.toAlgEquiv_refl · cited by 0StarAlgEquiv.toAlgEquiv_r…LinearIsometryEquiv.conjStarAlgEquiv_refl · cited by 0LinearIsometryEquiv.conjS…StarAlgEquiv.toNonUnitalStarAlgHom_refl · cited by 0StarAlgEquiv.toNonUnitalS…StarAlgEquiv.refl_symm · cited by 0StarAlgEquiv.refl_symmStarAlgEquiv.arrowCongr'_refl · cited by 0StarAlgEquiv.arrowCongr'_…StarAlgEquiv.toStarAlgHom_refl · cited by 0StarAlgEquiv.toStarAlgHom…StarAlgEquiv.arrowCongr_refl · cited by 0StarAlgEquiv.arrowCongr_r…StarAlgEquiv.aut_one · cited by 0StarAlgEquiv.aut_oneStar · cited by 496StarStarAlgEquiv · cited by 132StarAlgEquivStarRingEquiv · cited by 40StarRingEquivStarRingEquiv.refl · cited by 2StarRingEquiv.reflStarAlgEquiv.reflCITED BYCITES

Cites4

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Cited by9

Results whose statement or proof uses this declaration.