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Theorems · Theorem · group theory

Matrix.SpecialLinearGroup.ext_iff

∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R]
  (A B : Matrix.SpecialLinearGroup n R), A = B ↔ ∀ (i j : n), ↑A i j = ↑B i j
Defined in
Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup
Cited by
1 results in Mathlib
Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqFintypeCommRing
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Matrix.SpecialLinearGroup.ext · cited by 8SpecialLinearGroup.extCommRing · cited by 17173CommRingFintype · cited by 7736FintypeMatrix · cited by 4303MatrixMatrix.det · cited by 665Matrix.detMatrix.SpecialLinearGroup · cited by 348Matrix.SpecialLinearGroupMatrix.ext_iff · cited by 18Matrix.ext_iffSpecialLinearGroup.ext_iffCITED BYCITES

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Cited by1

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