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Theorems · Theorem · group theory

Matrix.cons_eq_zero_iff

∀ {α : Type u_1} {n : ℕ} [inst : Zero α] {v : Fin n → α} {x : α}, Matrix.vecCons x v = 0 ↔ x = 0 ∧ v = 0
Defined in
Mathlib.Algebra.Group.Fin.Tuple
Cited by
2 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Quot.sound
Assumes
Zero
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Around this declaration

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

crossProduct_ne_zero_iff_linearIndependent · cited by 1crossProduct_ne_zero_iff_…Matrix.cons_nonzero_iff · cited by 0Matrix.cons_nonzero_iffMatrix.vecCons · cited by 852Matrix.vecConsMatrix.vecTail · cited by 39Matrix.vecTailMatrix.cons_zero_zero · cited by 1Matrix.cons_zero_zeroMatrix.cons_eq_zero_iffCITED BYCITES

Cites3

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Cited by2

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