Theorems · Theorem · number theory
PadicInt.unitCoeff_spec
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {x : ℤ_[p]} (hx : x ≠ 0), x = ↑(PadicInt.unitCoeff hx) * ↑p ^ x.valuation- Cited by
- 2 results in Mathlib
- Foundations
- Depth 185 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Units.valstatement and proof · cited by 1,966
- mul_assocproof · cited by 1,667
- pow_zeroproof · cited by 1,094
- zpow_natCastproof · cited by 271
- neg_add_cancelproof · cited by 256
- Subtype.coe_injectiveproof · cited by 205
- PadicIntstatement and proof · cited by 179
- Padicproof · cited by 151
- zpow_ofNatproof · cited by 144
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.appr_specproof · cited by 4
- PadicInt.mem_span_pow_iff_le_valuationproof · cited by 1