Theorems · Theorem · linear algebra
Module.Basis.ofVectorSpaceIndex.linearIndependent
∀ (K : Type u_3) (V : Type u_4) [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V], LinearIndependent K Subtype.val
- Defined in
- Mathlib.LinearAlgebra.Basis.VectorSpace
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- Semiringproof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- AddCommMonoidproof · cited by 12,281
- DivisionRingstatement and proof · cited by 1,062
- LinearIndependentstatement and proof · cited by 560
- Module.Basis.linearIndependentproof · cited by 54
- Module.Basis.ofVectorSpaceproof · cited by 30
- Module.Basis.ofVectorSpaceIndexstatement and proof · cited by 29
- Module.Basis.ofVectorSpace_apply_selfproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsNoetherian.iff_rank_lt_aleph0proof · cited by 2