strongRankCondition_iff_succ

∀ (R : Type u) [inst : Semiring R],
  StrongRankCondition R ↔ ∀ (n : ℕ) (f : (Fin (n + 1) → R) →ₗ[R] Fin n → R), ¬Function.Injective ⇑f

A ring satisfies the strong rank condition if and only if, for all n : ℕ, any linear map (Fin (n + 1) → R) →ₗ[R] (Fin n → R) is not injective.

Defined in: Mathlib.LinearAlgebra.InvariantBasisNumber
Cited by: 4 results in Mathlib
Foundations: Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring

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