Theorems · Theorem · linear algebra
linearIndepOn_zero_iff
∀ {ι : Type u'} {R : Type u_2} {s : Set ι} {M : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid M]
[inst_2 : Module R M] [Nontrivial R], LinearIndepOn R 0 s ↔ s = ∅- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Nontrivialstatement and proof · cited by 2,416
- LinearIndepOnstatement · cited by 211
- Set.isEmpty_coe_sortproof · cited by 6
- linearIndependent_zero_iffproof · cited by 2
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