Theorems · Theorem · number theory
NumberField.InfinitePlace.mult_comap_le
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] (f : k →+* K) (w : NumberField.InfinitePlace K),
(w.comap f).mult ≤ w.mult- Cited by
- 3 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealproof · cited by 301
- NumberField.InfinitePlace.multstatement and proof · cited by 107
- NumberField.InfinitePlace.comapstatement and proof · cited by 55
- NumberField.InfinitePlace.IsReal.comapproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.isUnramified_iff_mult_leproof · cited by 2
- NumberField.InfinitePlace.IsUnramified.of_restrictScalarsproof · cited by 1
- NumberField.InfinitePlace.IsUnramified.comap_algHomproof · cited by 1