Theorems · Theorem · ring theory
isStarProjection_one_sub_iff
∀ {R : Type u_1} {p : R} [inst : NonAssocRing R] [inst_1 : StarRing R], IsStarProjection (1 - p) ↔ IsStarProjection p- Defined in
- Mathlib.Algebra.Star.StarProjection
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRingStarRing
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.
- StarRingstatement and proof · cited by 1,686
- NonAssocRingstatement and proof · cited by 483
- sub_sub_cancelproof · cited by 105
- IsStarProjectionstatement and proof · cited by 64
- IsStarProjection.one_subproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsStarProjection.of_one_subproof · cited by 0