Theorems · Theorem · number theory
PadicInt.toZMod_eq_residueField_comp_residue
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)],
PadicInt.toZMod = PadicInt.residueField.toRingHom.comp (IsLocalRing.residue ℤ_[p])- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- ZModstatement · cited by 1,024
- RingHom.compstatement · cited by 899
- PadicIntstatement · cited by 179
- IsLocalRing.ResidueFieldstatement · cited by 156
- RingEquiv.toRingHomstatement · cited by 150
- IsLocalRing.residuestatement · cited by 71
- PadicInt.toZModstatement · cited by 10
- PadicInt.residueFieldstatement · cited by 1
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