Theorems · Theorem · number theory
NumberField.totalWeight_pos
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K], 0 < Height.totalWeight K
- Defined in
- Mathlib.NumberTheory.Height.NumberField
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 300 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Finset.univproof · cited by 3,473
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlaceproof · cited by 604
- Finset.valproof · cited by 438
- Multiset.sumproof · cited by 388
- Multiset.map_congrproof · cited by 232
- NumberField.InfinitePlace.multproof · cited by 107
- Multiset.replicateproof · cited by 88
- Function.ne_iffproof · cited by 40
- Height.totalWeightstatement · cited by 18
- Ne.posproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.exists_nat_le_mulHeight₁proof · cited by 1