Theorems · Theorem · group theory
Associates.mk_eq_one
∀ {M : Type u_1} [inst : Monoid M] {a : M}, Associates.mk a = 1 ↔ IsUnit a- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement and proof · cited by 1,602
- Associatesstatement and proof · cited by 210
- Associates.mkstatement and proof · cited by 137
- Associates.mk_eq_mk_iff_associatedproof · cited by 16
- associated_one_iff_isUnitproof · cited by 14
- Associates.mk_oneproof · cited by 5
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