Theorems · Theorem · ring theory
IsStarProjection.map
∀ {A : Type u_2} {B : Type u_3} [inst : Mul A] [inst_1 : Star A] [inst_2 : Mul B] [inst_3 : Star B] {F : Type u_4}
[inst_4 : FunLike F A B] [StarHomClass F A B] [MulHomClass F A B] {x : A},
IsStarProjection x → ∀ (f : F), IsStarProjection (f x)- Defined in
- Mathlib.Algebra.Star.StarProjection
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- Starstatement and proof · cited by 496
- StarHomClassstatement and proof · cited by 76
- MulHomClassstatement and proof · cited by 73
- IsStarProjectionstatement and proof · cited by 64
- IsStarProjection.isSelfAdjointproof · cited by 18
- IsStarProjection.isIdempotentElemproof · cited by 17
- IsSelfAdjoint.mapproof · cited by 7
- IsIdempotentElem.mapproof · cited by 5
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