Theorems · Theorem · number theory
Padic.valuation_p_ne_zero
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {Γ₀ : Type u_1} [inst : LinearOrderedCommMonoidWithZero Γ₀] (v : Valuation ℚ_[p] Γ₀)
[v.Compatible], v ↑p ≠ 0- Defined in
- Mathlib.NumberTheory.Padics.ValuativeRel
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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- DFunLike.coestatement · cited by 62,936
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- Valuationstatement and proof · cited by 823
- Fact.outproof · cited by 328
- Padicstatement and proof · cited by 151
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- WithZero.expproof · cited by 112
- Nat.Prime.ne_zeroproof · cited by 109
- Valuation.Compatiblestatement and proof · cited by 71
- Padic.valuationproof · cited by 28
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