Basis.card_le_card_of_linearIndependent_aux

∀ {R : Type u_2} [inst : Semiring R] [StrongRankCondition R] (n : ℕ) {m : ℕ} (v : Fin m → Fin n → R),
  LinearIndependent R v → m ≤ n

Let R satisfy the strong rank condition. If m elements of a free rank n R-module are linearly independent, then m ≤ n.

Defined in: Mathlib.LinearAlgebra.Dimension.StrongRankCondition
Cited by: 0 results in Mathlib
Foundations: Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring StrongRankCondition

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