Theorems · Theorem · commutative algebra
not_irreducible_zero
∀ {M : Type u_1} [inst : MonoidWithZero M], ¬Irreducible 0- Defined in
- Mathlib.Algebra.Prime.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- MonoidWithZero
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.
- MulZeroClass.mul_zeroproof · cited by 2,091
- IsUnitproof · cited by 1,602
- Irreduciblestatement and proof · cited by 496
- MonoidWithZerostatement and proof · cited by 456
Cited by6
Results whose statement or proof uses this declaration.
- Irreducible.ne_zeroproof · cited by 45
- Irreducible.natDegree_posproof · cited by 8
- Polynomial.not_irreducible_Cproof · cited by 5
- Nat.divisors_filter_squarefreeproof · cited by 1
- Associates.prod_le_prod_iff_leproof · cited by 0
- Nat.factors_multiset_prod_of_irreducibleproof · cited by 0