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Theorems · Theorem · group theory

Matrix.SpecialLinearGroup.map_intCast_inj

∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] [CharZero R]
  {x y : Matrix.SpecialLinearGroup n ℤ},
  (Matrix.SpecialLinearGroup.map (Int.castRingHom R)) x = (Matrix.SpecialLinearGroup.map (Int.castRingHom R)) y ↔ x = y
Defined in
Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup
Cited by
0 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqFintypeCommRingCharZero
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingFintype · cited by 7736FintypeMonoidHom · cited by 3629MonoidHomCharZero · cited by 932CharZeroMatrix.SpecialLinearGroup · cited by 348Matrix.SpecialLinearGroupInt.castRingHom · cited by 254Int.castRingHomMatrix.SpecialLinearGroup.map · cited by 77SpecialLinearGroup.mapMatrix.SpecialLinearGroup.map_intCast_injective · cited by 2SpecialLinearGroup.map_in…SpecialLinearGroup.map_intCas…CITED BYCITES

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