Theorems · Theorem · ring theory
Unitary.map_injective
∀ {R : Type u_2} {S : Type u_3} [inst : Monoid R] [inst_1 : StarMul R] [inst_2 : Monoid S] [inst_3 : StarMul S]
{f : R →⋆* S}, Function.Injective ⇑f → Function.Injective ⇑(Unitary.map f)- Defined in
- Mathlib.Algebra.Star.Unitary
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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Cites9
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
- unitarystatement · cited by 207
- StarMulstatement and proof · cited by 195
- StarMonoidHomstatement and proof · cited by 35
- Unitary.mapstatement · cited by 10
- Subtype.map_injectiveproof · cited by 7
- Unitary.map_memproof · cited by 1
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