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Theorems · Theorem · linear algebra

Module.finrank_pi

∀ (R : Type u) [inst : Semiring R] [StrongRankCondition R] {ι : Type v} [inst_2 : Fintype ι],
  Module.finrank R (ι → R) = Fintype.card ι

The finrank of (ι → R) is Fintype.card ι.

Defined in
Mathlib.LinearAlgebra.Dimension.Constructions
Cited by
5 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringStrongRankConditionFintype

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