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Theorems · Theorem · linear algebra

Matrix.isUnit_det_of_right_inverse

∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] {A B : Matrix n n α},
  A * B = 1 → IsUnit A.det
Defined in
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
Cited by
1 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEqCommRing
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Matrix.det_ne_zero_of_right_inverse · cited by 0Matrix.det_ne_zero_of_rig…CommRing · cited by 17173CommRingFintype · cited by 7736FintypeMatrix · cited by 4303MatrixIsUnit · cited by 1602IsUnitMatrix.det · cited by 665Matrix.detisUnit_of_invertible · cited by 26isUnit_of_invertibleMatrix.isUnit_det_of_right_in…CITED BYCITES

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