Theorems · Theorem · ring theory
selfAdjoint.star_val_eq
∀ {R : Type u_1} [inst : AddGroup R] [inst_1 : StarAddMonoid R] {x : ↥(selfAdjoint R)}, star ↑x = ↑x- Defined in
- Mathlib.Algebra.Star.SelfAdjoint
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupStarAddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Star.starstatement · cited by 1,082
- Subtype.propproof · cited by 505
- StarAddMonoidstatement and proof · cited by 296
- selfAdjointstatement and proof · cited by 135
Cited by5
Results whose statement or proof uses this declaration.
- star_mul_self_eq_realPart_sq_add_imaginaryPart_sqproof · cited by 1
- star_mul_self_add_self_mul_starproof · cited by 1
- star_mul_self_sub_self_mul_starproof · cited by 1
- imaginaryPart_comp_subtype_selfAdjointproof · cited by 0
- selfAdjoint.isSelfAdjointproof · cited by 0