Theorems · Theorem · group theory
Matrix.SpecialLinearGroup.map_intCast_injective
∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] [CharZero R],
Function.Injective ⇑(Matrix.SpecialLinearGroup.map (Int.castRingHom R))- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- CharZerostatement and proof · cited by 932
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Int.castRingHomstatement and proof · cited by 254
- Matrix.SpecialLinearGroup.mapstatement and proof · cited by 77
- RingHom.mapMatrix_applyproof · cited by 73
- Matrix.SpecialLinearGroup.map_apply_coeproof · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.SpecialLinearGroup.map_intCast_injproof · cited by 0
- CongruenceSubgroup.conjGL_coeproof · cited by 0