Theorems · Definition · number theory
PadicInt.toZMod
{p : ℕ} → [hp_prime : Fact (Nat.Prime p)] → ℤ_[p] →+* ZMod ptoZMod is a ring hom from ℤ_[p] to ZMod p,
with the equality toZMod x = (zmodRepr x : ZMod p).
- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 198 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.
Cites7
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
- PadicIntstatement · cited by 179
- PadicInt.zmodReprproof · cited by 21
- PadicInt.toZModHomproof · cited by 0
Cited by10
Results whose statement or proof uses this declaration.
- PadicInt.appr_specproof · cited by 4
- PadicInt.toZMod_specstatement and proof · cited by 3
- PadicInt.appr_ltproof · cited by 2
- PadicInt.appr_monoproof · cited by 2
- PadicInt.dvd_appr_sub_apprproof · cited by 1
- PadicInt.ker_toZModstatement and proof · cited by 0
- PadicInt.val_toZMod_eq_zmodReprstatement and proof · cited by 0
- PadicInt.appr.eq_defstatement and proof · cited by 0
- PadicInt.zmodRepr_mulproof · cited by 0
- PadicInt.toZMod_eq_residueField_comp_residuestatement · cited by 0