Theorems · Definition · category theory
Profinite.NobelingProof.ProjRestrict
{I : Type u} →
(C : Set (I → Bool)) → (J : I → Prop) → [inst : (i : I) → Decidable (J i)] → ↑C → ↑(Profinite.NobelingProof.π C J)The restriction of Proj π J to a subset, mapping to its image.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Decidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Profinite.NobelingProof.πstatement and proof · cited by 70
- Set.MapsTo.restrictproof · cited by 57
- Profinite.NobelingProof.Projproof · cited by 23
Cited by17
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.πsproof · cited by 17
- Profinite.NobelingProof.ProjRestrictsproof · cited by 12
- Profinite.NobelingProof.injective_πsproof · cited by 4
- Profinite.NobelingProof.continuous_projRestrictstatement · cited by 3
- Profinite.NobelingProof.Products.evalFacPropstatement · cited by 3
- Profinite.NobelingProof.πJproof · cited by 2
- Profinite.NobelingProof.πs_apply_applystatement · cited by 2
- Profinite.NobelingProof.coe_πsstatement · cited by 1
- Profinite.NobelingProof.GoodProducts.square_commutesproof · cited by 1
- Profinite.NobelingProof.Products.evalFacPropsproof · cited by 1
- Profinite.NobelingProof.fin_comap_jointlySurjectivestatement · cited by 1
- Profinite.NobelingProof.projRestricts_comp_projRestrictstatement and proof · cited by 1