Theorems · Theorem · group theory
Matrix.ProjectiveSpecialLinearGroup.toPermHom_injective
∀ {K : Type u_1} [inst : Field K] {ι : Type u_3} [inst_1 : Fintype ι] [inst_2 : DecidableEq ι],
Function.Injective ⇑Projectivization.PSLAction.toPermHom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldFintypeDecidableEq
Around this declaration
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Cites22
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
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- MonoidHomstatement and proof · cited by 3,629
- Subgroupproof · cited by 3,593
- HasQuotient.Quotientproof · cited by 2,301
- Equiv.Permstatement and proof · cited by 1,375
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Subgroup.mapproof · cited by 301
- MonoidHom.kerproof · cited by 212
- Subgroup.centerstatement and proof · cited by 121
- Projectivizationstatement and proof · cited by 111
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