Theorems · Theorem · logic and foundations
Quotient.out_eq
∀ {α : Sort u_1} {s : Setoid α} (q : Quotient s), ⟦q.out⟧ = q- Defined in
- Mathlib.Data.Quot
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quotient.outstatement · cited by 141
- Quot.out_eqproof · cited by 9
Cited by27
Results whose statement or proof uses this declaration.
- Quotient.out_eq'proof · cited by 35
- Ordinal.type_toTypeproof · cited by 28
- Cardinal.mk_outproof · cited by 14
- Ideal.Quotient.mk_outproof · cited by 5
- Submodule.factor_surjectiveproof · cited by 5
- Quotient.mk_outproof · cited by 4
- Quotient.eq_mk_iff_outproof · cited by 4
- Quotient.mk_eq_iff_outproof · cited by 4
- CategoryTheory.skeleton_skeletalproof · cited by 3
- Quotient.induction_on_piproof · cited by 3
- Quotient.mk_out'proof · cited by 2