Theorems · Theorem · number theory
NumberField.isInfinitePlace_iff
∀ {K : Type u_1} [inst : Field K] (v : AbsoluteValue K ℝ), NumberField.IsInfinitePlace v ↔ ∃ w, ↑w = v- Cited by
- 0 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites9
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
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- NumberField.InfinitePlacestatement and proof · cited by 604
- AbsoluteValuestatement and proof · cited by 363
- NumberField.placestatement · cited by 71
- NumberField.IsInfinitePlacestatement and proof · cited by 3
- NumberField.InfinitePlace.isInfinitePlaceproof · cited by 1
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