Theorems · Theorem · ring theory
Commute.isStarNormal_sub
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] [inst_1 : StarRing R] {a b : R},
Commute a (star b) → ∀ [ha : IsStarNormal a] [hb : IsStarNormal b], IsStarNormal (a - b)- Defined in
- Mathlib.Algebra.Star.SelfAdjoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites9
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
- Star.starstatement and proof · cited by 1,082
- sub_eq_add_negproof · cited by 1,023
- Commutestatement and proof · cited by 639
- NonUnitalNonAssocRingstatement and proof · cited by 354
- IsStarNormalstatement and proof · cited by 117
- star_negproof · cited by 8
- Commute.neg_rightproof · cited by 7
- Commute.isStarNormal_addproof · cited by 1
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