Theorems · Theorem · number theory
PadicInt.zmodRepr_spec
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (x : ℤ_[p]), x.zmodRepr < p ∧ x - ↑x.zmodRepr ∈ IsLocalRing.maximalIdeal ℤ_[p]- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 195 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.
- Idealstatement · cited by 4,748
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- IsLocalRing.maximalIdealstatement · cited by 297
- PadicIntstatement and proof · cited by 179
- ExistsUnique.existsproof · cited by 26
- PadicInt.zmodReprstatement · cited by 21
- PadicInt.existsUnique_mem_rangeproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- PadicInt.zmodRepr_uniqueproof · cited by 4
- PadicInt.sub_zmodRepr_memproof · cited by 3
- PadicInt.zmodRepr_lt_pproof · cited by 2