Theorems · Theorem · linear algebra

Module.Basis.flag_le_ker_dual

∀ {R : Type u_1} {M : Type u_2} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] {n : ℕ}
  (b : Module.Basis (Fin n) R M) (k : Fin n), b.flag k.castSucc ≤ LinearMap.ker (b.dualBasis k)

Defined in

Mathlib.LinearAlgebra.Basis.Flag

Cited by

0 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule