Theorems · Theorem · number theory
PadicInt.ext_of_toZModPow
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] {x y : ℤ_[p]},
(∀ (n : ℕ), (PadicInt.toZModPow n) x = (PadicInt.toZModPow n) y) ↔ x = y- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 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.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- 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
- ZMod.castproof · cited by 87
- ZMod.natCast_valproof · cited by 27
- OneHom.mk.congr_simpproof · cited by 21
- MonoidHom.mk.congr_simpproof · cited by 21
- PadicInt.toZModPowstatement and proof · cited by 17
- PadicInt.nthHomproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.toZModPow_eq_iff_extproof · cited by 1