Theorems · Theorem · number theory
padicValNat_self
∀ {p : ℕ} [Fact (Nat.Prime p)], padicValNat p p = 1- Cited by
- 11 results in Mathlib
- Foundations
- Depth 73 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.
Cites7
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
- Fact.outproof · cited by 328
- Nat.Prime.ne_zeroproof · cited by 109
- padicValNatstatement · cited by 106
- multiplicity_selfproof · cited by 2
- padicValNat_defproof · cited by 1
Cited by11
Results whose statement or proof uses this declaration.
- Padic.norm_pproof · cited by 5
- padicValNat.prime_powproof · cited by 3
- Rat.padicValuation_selfproof · cited by 2
- PadicInt.valuation_pproof · cited by 1
- Rat.surjective_padicValuationproof · cited by 0
- padicValInt_mul_eq_succproof · cited by 0
- padicValNat.divproof · cited by 0
- padicValNat_add_le_selfproof · cited by 0
- Padic.valuation_pproof · cited by 0
- Padic.valuation_p_lt_oneproof · cited by 0
- Padic.valuation_p_ne_zeroproof · cited by 0