Theorems · Theorem · number theory
NumberField.InfinitePlace.map_natCast
∀ {K : Type u_1} [inst : Field K] (v : NumberField.InfinitePlace K) (n : ℕ), v ↑n = ↑n- Cited by
- 3 results in Mathlib
- Foundations
- Depth 163 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHomproof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexproof · cited by 5,565
- Norm.normproof · cited by 5,413
- NumberField.InfinitePlacestatement and proof · cited by 604
- AbsoluteValueproof · cited by 363
- map_natCastproof · cited by 134
- NumberField.placeproof · cited by 71
- RCLike.norm_natCastproof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.exists_nat_le_mulHeight₁proof · cited by 1
- NumberField.InfinitePlace.eq_one_of_rpow_eqproof · cited by 1
- NumberField.InfinitePlace.isNontrivialproof · cited by 1