Theorems · Theorem · linear algebra
FiniteDimensional.of_rank_eq_nat
∀ {K : Type u} {V : Type v} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V] {n : ℕ},
Module.rank K V = ↑n → FiniteDimensional K V- Cited by
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- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Cardinalstatement · cited by 2,598
- FiniteDimensionalstatement · cited by 1,854
- DivisionRingstatement and proof · cited by 1,062
- Module.rankstatement and proof · cited by 496
- Module.finite_of_rank_eq_natproof · cited by 2
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