Theorems · Theorem · group theory
Associates.quot_out
∀ {M : Type u_1} [inst : Monoid M] (a : Associates M), Associates.mk (Quot.out a) = a- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Associatesstatement and proof · cited by 210
- Associates.mkstatement · cited by 137
- Quot.outstatement and proof · cited by 14
- Associated.setoidstatement · cited by 10
- Quot.out_eqproof · cited by 9
- Associates.quot_mk_eq_mkproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Ideal.associatesEquivIsPrincipal_mulproof · cited by 1
- Associates.mk_quot_outproof · cited by 0
- Associates.quot_out_zeroproof · cited by 0