Theorems · Theorem · linear algebra

FiniteDimensional.of_fact_finrank_eq_succ

∀ {K : Type u} {V : Type v} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V] (n : ℕ)
  [hn : Fact (Module.finrank K V = n + 1)], FiniteDimensional K V

We can infer FiniteDimensional K V in the presence of [Fact (finrank K V = n + 1)]. Use have : FiniteDimensional K V := .of_fact_finrank_eq_succ when needed. This is not an instance because n cannot be inferred.

Defined in

Mathlib.LinearAlgebra.FiniteDimensional.Defs

Cited by

6 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModuleFact