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Theorems · Definition · logic and foundations

Quotient.choice

{ι : Type u_3} → {α : ι → Type u_4} → {S : (i : ι) → Setoid (α i)} → ((i : ι) → Quotient (S i)) → Quotient inferInstance

Given a function f : Π i, Quotient (S i), returns the class of functions Π i, α i sending each i to an element of the class f i.

Defined in
Mathlib.Data.Quot
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses Classical.choice
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Path.Homotopic.pi · cited by 5Homotopic.piPath.Homotopic.pi_lift · cited by 3Homotopic.pi_liftQuotient.choice_eq · cited by 1Quotient.choice_eqQuotient.out · cited by 141Quotient.outQuotient.choiceCITED BYCITES

Cites1

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Cited by3

Results whose statement or proof uses this declaration.