Theorems · Theorem · commutative algebra
Irreducible.coprime_pow_of_not_dvd
∀ {R : Type u} [inst : CommRing R] [IsBezout R] {p a : R} (m : ℕ), Irreducible p → ¬p ∣ a → IsCoprime a (p ^ m)- Defined in
- Mathlib.RingTheory.PrincipalIdealDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Irreduciblestatement and proof · cited by 496
- IsCoprimestatement · cited by 321
- IsBezoutstatement and proof · cited by 23
- IsCoprime.symmproof · cited by 22
- Irreducible.coprime_iff_not_dvdproof · cited by 5
- IsCoprime.pow_rightproof · cited by 2
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