Theorems · Theorem · number theory
PadicInt.val_toZMod_eq_zmodRepr
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (x : ℤ_[p]), (PadicInt.toZMod x).val = x.zmodRepr- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Cites15
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
- IsLocalRing.maximalIdealproof · cited by 297
- PadicIntstatement and proof · cited by 179
- ZMod.valstatement and proof · cited by 159
- ZMod.castproof · cited by 87
- ZMod.natCast_valproof · cited by 27
- PadicInt.zmodReprstatement · cited by 21
- ZMod.val_ltproof · cited by 20
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