Theorems · Theorem · commutative algebra
DvdNotUnit.not_unit
Deprecated since 2026-08-02Use DvdNotUnit.not_isUnit instead.
∀ {M : Type u_1} [inst : CommMonoidWithZero M] {p q : M}, DvdNotUnit p q → ¬IsUnit qAlias of DvdNotUnit.not_isUnit.
- Defined in
- Mathlib.Algebra.Prime.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsUnitstatement · cited by 1,602
- CommMonoidWithZerostatement · cited by 913
- DvdNotUnitstatement · cited by 33
- DvdNotUnit.not_isUnitproof · cited by 3
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