Theorems · Theorem · category theory
Profinite.NobelingProof.proj_eq_of_subset
∀ {I : Type u} (C : Set (I → Bool)) (J K : I → Prop) [inst : (i : I) → Decidable (J i)]
[inst_1 : (i : I) → Decidable (K i)],
(∀ (i : I), J i → K i) → Profinite.NobelingProof.π (Profinite.NobelingProof.π C K) J = Profinite.NobelingProof.π C J- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.extproof · cited by 2,266
- Set.image_compproof · cited by 142
- Profinite.NobelingProof.πstatement and proof · cited by 70
- Profinite.NobelingProof.Projproof · cited by 23
- Profinite.NobelingProof.proj_comp_of_subsetproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.ProjRestrictsproof · cited by 12
- Profinite.NobelingProof.Products.evalFacPropsproof · cited by 1
- Profinite.NobelingProof.surjective_projRestrictsproof · cited by 1
- Profinite.NobelingProof.continuous_projRestrictsproof · cited by 1