Theorems · Theorem · number theory
NumberField.InfinitePlace.sum_mult_eq
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K], ∑ w, w.mult = Module.finrank ℚ K- Cited by
- 7 results in Mathlib
- Foundations
- Depth 296 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.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomproof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexproof · cited by 5,565
- Finset.sumstatement and proof · cited by 5,195
- mul_oneproof · cited by 3,885
- Finset.univstatement and proof · cited by 3,473
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Module.finrankstatement · cited by 1,770
- Finset.filterproof · cited by 949
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
Cited by7
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.norm_smulproof · cited by 5
- NumberField.Units.finrank_mul_regOfFamily_eq_detproof · cited by 2
- NumberField.mixedEmbedding.exists_ne_zero_mem_ideal_of_norm_leproof · cited by 2
- NumberField.totalWeight_eq_finrankproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.prod_expMapBasis_powproof · cited by 1