Theorems · Theorem · ring theory
Unitary.map_mem
∀ {R : Type u_2} {S : Type u_3} [inst : Monoid R] [inst_1 : StarMul R] [inst_2 : Monoid S] [inst_3 : StarMul S]
{F : Type u_5} [inst_4 : FunLike F R S] [StarHomClass F R S] [MonoidHomClass F R S] (f : F) {r : R},
r ∈ unitary R → f r ∈ unitary S- Defined in
- Mathlib.Algebra.Star.Unitary
- Cited by
- 1 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- FunLikestatement and proof · cited by 2,560
- map_mulproof · cited by 1,137
- Star.starproof · cited by 1,082
- map_oneproof · cited by 861
- MonoidHomClassstatement and proof · cited by 244
- unitarystatement and proof · cited by 207
- StarMulstatement and proof · cited by 195
- StarHomClassstatement and proof · cited by 76
- StarHomClass.map_starproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Unitary.map_injectiveproof · cited by 0