Theorems · Theorem · category theory
Profinite.NobelingProof.surjective_projRestricts
∀ {I : Type u} (C : Set (I → Bool)) {J K : I → Prop} [inst : (i : I) → Decidable (J i)]
[inst_1 : (i : I) → Decidable (K i)] (h : ∀ (i : I), J i → K i),
Function.Surjective (Profinite.NobelingProof.ProjRestricts C h)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Homeomorph.setCongrproof · cited by 29
- Homeomorph.surjectiveproof · cited by 23
- Profinite.NobelingProof.Projproof · cited by 23
- Profinite.NobelingProof.ProjRestrictsstatement · cited by 12
- Set.surjective_mapsTo_image_restrictproof · cited by 4
- Profinite.NobelingProof.proj_eq_of_subsetproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.injective_πs'proof · cited by 2