Theorems · Theorem · ring theory
IsSelfAdjoint.star_add_self
∀ {R : Type u_1} [inst : AddCommMonoid R] [inst_1 : StarAddMonoid R] (x : R), IsSelfAdjoint (star x + x)- Defined in
- Mathlib.Algebra.Star.SelfAdjoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
- Assumes
- AddCommMonoidStarAddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- add_commproof · cited by 1,535
- Star.starstatement and proof · cited by 1,082
- IsSelfAdjointstatement and proof · cited by 545
- StarAddMonoidstatement and proof · cited by 296
- star_starproof · cited by 135
- StarAddMonoid.star_addproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.isHermitian_transpose_add_selfproof · cited by 0