Theorems · Definition · number theory
PadicInt.unitCoeff
{p : ℕ} → [hp : Fact (Nat.Prime p)] → {x : ℤ_[p]} → x ≠ 0 → ℤ_[p]ˣunitCoeff hx is the unit u in the unique representation x = u * p ^ n.
See unitCoeff_spec.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 183 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Norm.normproof · cited by 5,413
- Unitsstatement · cited by 2,804
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- PadicIntstatement and proof · cited by 179
- Padicproof · cited by 151
- PadicInt.valuationproof · cited by 19
- PadicInt.mkUnitsproof · cited by 2
Cited by9
Results whose statement or proof uses this declaration.
- PadicInt.appr_specproof · cited by 4
- PadicInt.unitCoeff_specstatement and proof · cited by 2
- PadicInt.appr_ltproof · cited by 2
- PadicInt.appr_monoproof · cited by 2
- PadicInt.unitCoeff_coestatement · cited by 1
- PadicInt.dvd_appr_sub_apprproof · cited by 1
- PadicInt.mem_span_pow_iff_le_valuationproof · cited by 1
- PadicInt.appr.eq_defstatement and proof · cited by 0
- PadicInt.unitCoeff.congr_simpstatement and proof · cited by 0