Theorems · Theorem · linear algebra
rank_fin_fun
∀ {R : Type u} [inst : Semiring R] [StrongRankCondition R] (n : ℕ), Module.rank R (Fin n → R) = ↑n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringStrongRankCondition
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- mul_oneproof · cited by 3,885
- Cardinalstatement · cited by 2,598
- Cardinal.liftproof · cited by 583
- Module.rankstatement · cited by 496
- StrongRankConditionstatement and proof · cited by 286
- Fintype.card_finproof · cited by 270
- Cardinal.mk_fintypeproof · cited by 81
- Cardinal.sumproof · cited by 58
- Cardinal.lift_natCastproof · cited by 39
- Cardinal.lift_uzeroproof · cited by 31
- Module.rank_selfproof · cited by 17
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