Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K], LinearIndependent ℝ (NumberField.mixedEmbedding.fundamentalCone.completeFamily K)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 328 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Moduleproof · cited by 20,661
- Semiringproof · cited by 13,802
- AddCommMonoidproof · cited by 12,281
- Fieldstatement and proof · cited by 7,404
- Finset.sumproof · cited by 5,195
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- Finset.univproof · cited by 3,473
- Submodule.spanproof · cited by 1,504
- LT.lt.ne'proof · cited by 1,417
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.completeBasisproof · cited by 16
- NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_neproof · cited by 3
- NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_eqproof · cited by 2