Theorems · Theorem · ring theory
skewAdjoint.conjugate
∀ {R : Type u_1} [inst : Ring R] [inst_1 : StarRing R] {x : R},
x ∈ skewAdjoint R → ∀ (z : R), z * x * star z ∈ skewAdjoint R- Defined in
- Mathlib.Algebra.Star.SelfAdjoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AddSubgroupstatement · cited by 3,232
- StarRingstatement and proof · cited by 1,686
- mul_assocproof · cited by 1,667
- Star.starstatement and proof · cited by 1,082
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- star_starproof · cited by 135
- StarMul.star_mulproof · cited by 72
- skewAdjointstatement and proof · cited by 34
- skewAdjoint.mem_iffproof · cited by 4
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