Theorems · Theorem · number theory
NumberField.totalWeight_eq_sum_mult
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K], Height.totalWeight K = ∑ v, v.mult
- Defined in
- Mathlib.NumberTheory.Height.NumberField
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 301 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Finset.sumstatement and proof · cited by 5,195
- mul_oneproof · cited by 3,885
- Finset.univstatement and proof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- Multiset.mapproof · cited by 876
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- Multiset.sumproof · cited by 388
- Multiset.cardproof · cited by 375
- AbsoluteValueproof · cited by 363
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.totalWeight_eq_finrankproof · cited by 1
- NumberField.exists_nat_le_mulHeight₁proof · cited by 1