Theorems · Theorem · category theory
Profinite.NobelingProof.union_C0C1_eq
∀ {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.C0 C ho ∪ Profinite.NobelingProof.C1 C ho = C- 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.
Cites11
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
- Set.ofPredproof · cited by 6,101
- Set.extproof · cited by 2,266
- Ordinalstatement and proof · cited by 1,688
- WellFoundedLTstatement and proof · cited by 491
- Ordinal.typestatement and proof · cited by 207
- Profinite.NobelingProof.termproof · cited by 22
- Profinite.NobelingProof.C1statement · cited by 9
- Profinite.NobelingProof.C0statement · cited by 6
- Bool.dichotomyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.CC_exactproof · cited by 1