Theorems · Theorem · number theory
isPrimePow_def
∀ {R : Type u_1} [inst : CommMonoidWithZero R] (n : R), IsPrimePow n ↔ ∃ p k, Prime p ∧ 0 < k ∧ p ^ k = n- Defined in
- Mathlib.Algebra.IsPrimePow
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- Primestatement · cited by 277
- IsPrimePowstatement · cited by 77
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.isPrimePow_iffproof · cited by 1
- isPrimePow_iff_pow_succproof · cited by 0