Theorems · Theorem · number theory
Padic.isUniformInducing_cast_withVal
∀ {p : ℕ} [inst : Fact (Nat.Prime p)],
IsUniformInducing ⇑((Rat.castHom ℚ_[p]).comp (WithVal.equiv (Rat.padicValuation p)).toRingHom)- Defined in
- Mathlib.NumberTheory.Padics.WithVal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites76
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realproof · cited by 25,697
- RingHomstatement · cited by 10,189
- Set.ofPredproof · cited by 6,101
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- Unitsproof · cited by 2,804
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- Nat.Primestatement and proof · cited by 2,059
- Units.valproof · cited by 1,966
Cited by2
Results whose statement or proof uses this declaration.
- Padic.withValUniformEquiv_cast_applyproof · cited by 1
- Padic.isDenseInducing_cast_withValproof · cited by 1