Theorems · Theorem · number theory
Rat.padicValuation.congr_simp
∀ (p p_1 : ℕ) (e_p : p = p_1) [inst : Fact (Nat.Prime p)], Rat.padicValuation p = Rat.padicValuation p_1
- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 162 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement · cited by 586
- Rat.padicValuationstatement and proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Rat.HeightOneSpectrum.valuation_equiv_padicValuationproof · cited by 0