Theorems · Theorem · number theory
not_isPrimePow_zero
∀ {R : Type u_1} [inst : CommMonoidWithZero R] [IsReduced R], ¬IsPrimePow 0- Defined in
- Mathlib.Algebra.IsPrimePow
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidWithZeroIsReduced
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- Primeproof · cited by 277
- IsReducedstatement and proof · cited by 98
- IsPrimePowstatement · cited by 77
- eq_zero_of_pow_eq_zeroproof · cited by 30
Cited by3
Results whose statement or proof uses this declaration.
- IsPrimePow.two_leproof · cited by 2
- IsPrimePow.ne_zeroproof · cited by 1
- IsPrimePow.exists_ordCompl_eq_oneproof · cited by 1