Theorems · Theorem · number theory
PadicInt.ker_toZMod
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)], RingHom.ker PadicInt.toZMod = IsLocalRing.maximalIdeal ℤ_[p]- 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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Cites20
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 · cited by 10,189
- Idealstatement · cited by 4,748
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- ZModstatement and proof · cited by 1,024
- sub_zeroproof · cited by 938
- RingHom.kerstatement · cited by 363
- IsLocalRing.maximalIdealstatement and proof · cited by 297
- PadicIntstatement and proof · cited by 179
- Ideal.extproof · cited by 131
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