Theorems · Theorem · number theory
NumberField.InfinitePlace.card_filter_mk_eq
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (w : NumberField.InfinitePlace K),
{φ | NumberField.InfinitePlace.mk φ = w}.card = w.mult- Cited by
- 3 results in Mathlib
- Foundations
- Depth 171 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.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Finset.univstatement and proof · cited by 3,473
- Finset.cardstatement and proof · cited by 2,327
- Star.starproof · cited by 1,082
- Finset.filterstatement and proof · cited by 949
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealproof · cited by 301
- Finset.card_singletonproof · cited by 144
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.prod_eq_abs_normproof · cited by 8
- NumberField.InfinitePlace.sum_mult_eqproof · cited by 7
- NumberField.InfinitePlace.card_complex_embeddingsproof · cited by 2