Theorems · Theorem · linear algebra

Module.finrank_finsupp

∀ (R : Type u) (M : Type v) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] [StrongRankCondition R]
  [Module.Free R M] {ι : Type v} [inst_5 : Fintype ι], Module.finrank R (ι →₀ M) = Fintype.card ι * Module.finrank R M

Defined in

Mathlib.LinearAlgebra.Dimension.Constructions

Cited by

0 results in Mathlib

Foundations

Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleStrongRankConditionModule.FreeFintype