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Theorems · Theorem · number theory

IsPrimePow.not_isUnit

∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : R}, IsPrimePow n → ¬IsUnit n
Defined in
Mathlib.Algebra.IsPrimePow
Cited by
2 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext
Assumes
CommMonoidWithZero
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Around this declaration

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

IsUnit.not_isPrimePow · cited by 1IsUnit.not_isPrimePowIsPrimePow.not_unit · cited by 0IsPrimePow.not_unitIsUnit · cited by 1602IsUnitLT.lt.ne' · cited by 1417lt.ne'CommMonoidWithZero · cited by 913CommMonoidWithZeroIff.not · cited by 489Iff.notPrime · cited by 277PrimeIsPrimePow · cited by 77IsPrimePowPrime.not_isUnit · cited by 29Prime.not_isUnitisUnit_pow_iff · cited by 7isUnit_pow_iffIsPrimePow.not_isUnitCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.