Theorems · Theorem · commutative algebra
Irreducible.not_dvd_one
∀ {M : Type u_1} [inst : CommMonoid M] {p : M}, Irreducible p → ¬p ∣ 1- Defined in
- Mathlib.Algebra.Prime.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- CommMonoid
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.
- CommMonoidstatement and proof · cited by 2,264
- Irreduciblestatement and proof · cited by 496
- isUnit_oneproof · cited by 48
- Irreducible.not_dvd_isUnitproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Prime.not_dvd_oneproof · cited by 13