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Theorems · Theorem · linear algebra

Matrix.transvection_zero

∀ {n : Type u_1} {R : Type u₂} [inst : DecidableEq n] [inst_1 : CommRing R] (i j : n), Matrix.transvection i j 0 = 1
Defined in
Mathlib.LinearAlgebra.Matrix.Transvection
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
DecidableEqCommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.TransvectionStruct.mul_inv · cited by 2TransvectionStruct.mul_invMatrix.TransvectionStruct.inv_mul · cited by 2TransvectionStruct.inv_mulCommRing · cited by 17173CommRingMatrix · cited by 4303Matrixadd_zero · cited by 2707add_zeroMatrix.transvection · cited by 24Matrix.transvectionMatrix.single_zero · cited by 6Matrix.single_zeroMatrix.transvection_zeroCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.