Theorems · Theorem · linear algebra

Module.finrank_eq_nat_card_basis

∀ {R : Type u} {M : Type v} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {ι : Type w}
  [StrongRankCondition R] (h : Module.Basis ι R M), Module.finrank R M = Nat.card ι

Defined in

Mathlib.LinearAlgebra.Dimension.StrongRankCondition

Cited by

5 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleStrongRankCondition