Theorems · Theorem · ring theory
Unitary.star_mem
∀ {R : Type u_1} [inst : Monoid R] [inst_1 : StarMul R] {U : R}, U ∈ unitary R → star U ∈ unitary R- Defined in
- Mathlib.Algebra.Star.Unitary
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- Star.starstatement and proof · cited by 1,082
- unitarystatement and proof · cited by 207
- StarMulstatement and proof · cited by 195
- star_starproof · cited by 135
- Unitary.star_mul_self_of_memproof · cited by 13
- Unitary.mul_star_self_of_memproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- pinGroup.star_memproof · cited by 2
- Matrix.IsHadamard.conjTransposeproof · cited by 2
- Unitary.star_mem_iffproof · cited by 1