Theorems · Theorem · number theory
Nat.Prime.dvd_or_dvd
∀ {p m n : ℕ}, Nat.Prime p → p ∣ m * n → p ∣ m ∨ p ∣ nAlias of the forward direction of Nat.Prime.dvd_mul.
- Defined in
- Mathlib.Data.Nat.Prime.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primestatement and proof · cited by 2,059
- Nat.Prime.dvd_mulproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Prime.dvd_or_dvd_of_dvd_lcmproof · cited by 1