Theorems · Theorem · number theory
padicValNat_zero_right
∀ (p : ℕ), padicValNat p 0 = 0
- Defined in
- Mathlib.Data.Nat.MaxPowDiv
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- padicValNatstatement · cited by 106
- Nat.maxPowDvdDiv_zero_rightproof · cited by 3
Cited by12
Results whose statement or proof uses this declaration.
- Nat.factorization_zeroproof · cited by 32
- Nat.primeFactorsList_count_eqproof · cited by 11
- padicValNat.div_of_dvdproof · cited by 4
- padicValNat_le_nat_logproof · cited by 2
- padicValNat.eq_zero_iffproof · cited by 2
- range_pow_padicValNat_subset_divisors'proof · cited by 1
- padicValInt.zeroproof · cited by 1
- Nat.padicValNat_le_selfproof · cited by 1
- padicValNat.zeroproof · cited by 0
- Nat.maxPowDiv.zeroproof · cited by 0
- Nat.eq_sq_add_sq_iffproof · cited by 0
- Nat.toNat_emultiplicityproof · cited by 0