Theorems · Definition · number theory
PadicInt.toZModPow
{p : ℕ} → [hp_prime : Fact (Nat.Prime p)] → (n : ℕ) → ℤ_[p] →+* ZMod (p ^ n)A ring hom from ℤ_[p] to ZMod (p^n), with underlying function PadicInt.appr n.
- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 203 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 and proof · cited by 179
- PadicInt.apprproof · cited by 10
- PadicInt.toZModHomproof · cited by 0
Cited by18
Results whose statement or proof uses this declaration.
- WittVector.fromPadicIntproof · cited by 4
- PadicInt.zmod_cast_comp_toZModPowstatement and proof · cited by 4
- PadicInt.ker_toZModPowstatement and proof · cited by 3
- PadicInt.lift_specstatement and proof · cited by 3
- WittVector.zmodEquivTrunc_compatstatement and proof · cited by 2
- cyclotomicCharacter.toZModPow_toFunstatement and proof · cited by 2
- WittVector.toPadicInt_comp_fromPadicIntproof · cited by 1
- WittVector.fromPadicInt_comp_toPadicIntproof · cited by 1
- PadicInt.lift_selfstatement and proof · cited by 1
- PadicInt.lift_uniquestatement and proof · cited by 1
- cyclotomicCharacter.toFun_specstatement · cited by 1
- cyclotomicCharacter.toZModPowstatement · cited by 1