Theorems · Definition · number theory
NumberField.IsInfinitePlace
{K : Type u_1} → [inst : Field K] → AbsoluteValue K ℝ → PropA predicate singling out infinite places among the absolute values on a number field K.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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.
- Realstatement and proof · cited by 25,697
- RingHomproof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexproof · cited by 5,565
- AbsoluteValuestatement and proof · cited by 363
- NumberField.placeproof · cited by 71
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.mem_multisetInfinitePlacestatement · cited by 1
- NumberField.InfinitePlace.isInfinitePlacestatement · cited by 1
- NumberField.isInfinitePlace_iffstatement and proof · cited by 0