Theorems · Theorem · category theory
Profinite.NobelingProof.continuous_projRestrict
∀ {I : Type u} (C : Set (I → Bool)) (J : I → Prop) [inst : (i : I) → Decidable (J i)],
Continuous (Profinite.NobelingProof.ProjRestrict C J)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Decidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Continuousstatement · cited by 2,592
- Profinite.NobelingProof.πstatement · cited by 70
- Profinite.NobelingProof.ProjRestrictstatement · cited by 13
- Continuous.restrictproof · cited by 4
- Profinite.NobelingProof.continuous_projproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.injective_πsproof · cited by 4
- Profinite.NobelingProof.continuous_projRestrictsproof · cited by 1
- Profinite.NobelingProof.fin_comap_jointlySurjectivestatement · cited by 1