Theorems · Theorem · number theory
PadicInt.toZModPow_eq_iff_ext
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] {R : Type u_1} [inst : NonAssocSemiring R] {g g' : R →+* ℤ_[p]},
(∀ (n : ℕ), (PadicInt.toZModPow n).comp g = (PadicInt.toZModPow n).comp g') ↔ g = g'- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FactNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- ZModstatement and proof · cited by 1,024
- RingHom.compstatement and proof · cited by 899
- NonAssocSemiringstatement and proof · cited by 805
- RingHom.extproof · cited by 331
- PadicIntstatement and proof · cited by 179
- PadicInt.toZModPowstatement and proof · cited by 17
- PadicInt.ext_of_toZModPowproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.toPadicInt_comp_fromPadicIntproof · cited by 1