Theorems · Theorem · number theory
NumberField.totalWeight_eq_finrank
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K], Height.totalWeight K = Module.finrank ℚ K
- Defined in
- Mathlib.NumberTheory.Height.NumberField
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 302 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.
Cites6
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
- Module.finrankstatement and proof · cited by 1,770
- NumberFieldstatement and proof · cited by 653
- Height.totalWeightstatement · cited by 18
- NumberField.InfinitePlace.sum_mult_eqproof · cited by 7
- NumberField.totalWeight_eq_sum_multproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.exists_nat_le_mulHeight₁proof · cited by 1