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Theorems · Theorem · number theory

PadicInt.irreducible_p

∀ {p : ℕ} [hp : Fact (Nat.Prime p)], Irreducible ↑p
Defined in
Mathlib.NumberTheory.Padics.PadicIntegers
Cited by
3 results in Mathlib
Foundations
Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fact
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PadicInt.appr_spec · cited by 4PadicInt.appr_specPadicInt.ideal_eq_span_pow_p · cited by 0PadicInt.ideal_eq_span_po…PadicInt.zmodRepr_units_ne_zero · cited by 0PadicInt.zmodRepr_units_n…Fact · cited by 2726FactNat.Prime · cited by 2059Nat.PrimeIrreducible · cited by 496IrreduciblePadicInt · cited by 179PadicIntPrime.irreducible · cited by 54Prime.irreduciblePadicInt.prime_p · cited by 1PadicInt.prime_pPadicInt.irreducible_pCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.