Theorems · Theorem · ring theory
isStarProjection_iff
∀ {R : Type u_1} [inst : Mul R] [inst_1 : Star R] (p : R), IsStarProjection p ↔ IsIdempotentElem p ∧ IsSelfAdjoint p- Defined in
- Mathlib.Algebra.Star.StarProjection
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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.
- IsSelfAdjointstatement and proof · cited by 545
- Starstatement and proof · cited by 496
- IsIdempotentElemstatement and proof · cited by 217
- IsStarProjectionstatement and proof · cited by 64
- IsStarProjection.casesOnproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- isStarProjection_iff_isIdempotentElem_and_isStarNormalproof · cited by 2
- IsStarProjection.sub_iff_mul_eq_leftproof · cited by 1
- isStarProjection_iff_quasispectrum_subset_and_isSelfAdjointproof · cited by 0
- isStarProjection_iff_spectrum_subset_and_isSelfAdjointproof · cited by 0
- isStarProjection_iff'proof · cited by 0