Theorems · Definition · category theory
Profinite.NobelingProof.Proj
{I : Type u} → (J : I → Prop) → [(i : I) → Decidable (J i)] → (I → Bool) → I → BoolThe projection mapping everything that satisfies J i to itself, and everything else to false
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Decidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by25
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.πproof · cited by 70
- Profinite.NobelingProof.ProjRestrictproof · cited by 13
- Profinite.NobelingProof.Products.prop_of_isGoodproof · cited by 10
- Profinite.NobelingProof.injective_πsproof · cited by 4
- Profinite.NobelingProof.contained_projproof · cited by 3
- Profinite.NobelingProof.Products.evalFacPropproof · cited by 3
- Profinite.NobelingProof.proj_eq_of_subsetproof · cited by 3
- Profinite.NobelingProof.ProjRestricts_coestatement · cited by 3
- Profinite.NobelingProof.contained_eq_projproof · cited by 2
- Profinite.NobelingProof.continuous_projstatement · cited by 2
- Profinite.NobelingProof.e_mem_of_eq_trueproof · cited by 1
- Profinite.NobelingProof.mem_C'_eq_falseproof · cited by 1