Theorems · Theorem · group theory
Associates.isPrimal_mk
∀ {M : Type u_1} [inst : CommMonoid M] {a : M}, IsPrimal (Associates.mk a) ↔ IsPrimal a- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoid
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidproof · cited by 3,887
- Unitsproof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valproof · cited by 1,966
- mul_assocproof · cited by 1,667
- Associatesstatement and proof · cited by 210
- Associates.mkstatement and proof · cited by 137
- Function.Surjective.existsproof · cited by 53
- Associates.mk_eq_mk_iff_associatedproof · cited by 16
- IsPrimalstatement · cited by 13
- Associates.mk_surjectiveproof · cited by 7
- Units.mul_right_dvdproof · cited by 7
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