Theorems · Theorem · category theory
Profinite.NobelingProof.isClosed_C0
∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] [inst_1 : WellFoundedLT I] {o : Ordinal.{u}},
IsClosed C → ∀ (ho : o < Ordinal.type fun x1 x2 => x1 < x2), IsClosed (Profinite.NobelingProof.C0 C ho)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 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.
Cites13
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
- Continuousproof · cited by 2,592
- Ordinalstatement and proof · cited by 1,688
- IsClosedstatement and proof · cited by 1,639
- WellFoundedLTstatement and proof · cited by 491
- Ordinal.typestatement and proof · cited by 207
- IsClosed.preimageproof · cited by 138
- continuous_applyproof · cited by 120
- IsClosed.interproof · cited by 61
- Profinite.NobelingProof.termproof · cited by 22
- isClosed_discreteproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.CC_exactproof · cited by 1
- Profinite.NobelingProof.isClosed_C'proof · cited by 1