Theorems · Theorem · category theory
Profinite.NobelingProof.contained_C1
∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] [inst_1 : WellFoundedLT I] {o : Ordinal.{u}}
(ho : o < Ordinal.type fun x1 x2 => x1 < x2),
Profinite.NobelingProof.contained
(Profinite.NobelingProof.π (Profinite.NobelingProof.C1 C ho) fun x => Profinite.NobelingProof.ord I x < o) o- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderWellFoundedLT
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- LinearOrderstatement and proof · cited by 8,572
- Ordinalstatement and proof · cited by 1,688
- WellFoundedLTstatement and proof · cited by 491
- Ordinal.typestatement and proof · cited by 207
- Profinite.NobelingProof.πstatement · cited by 70
- Profinite.NobelingProof.ordstatement · cited by 51
- Profinite.NobelingProof.containedstatement · cited by 34
- Profinite.NobelingProof.C1statement and proof · cited by 9
- Profinite.NobelingProof.contained_projproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.contained_C'proof · cited by 1