Theorems · Theorem · category theory

Profinite.NobelingProof.GoodProducts.good_lt_maxProducts

∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] [inst_1 : WellFoundedLT I] {o : Ordinal.{u}},
  Profinite.NobelingProof.contained C (Order.succ o) →
    ∀ (ho : o < Ordinal.type fun x1 x2 => x1 < x2)
      (q :
        ↑(Profinite.NobelingProof.GoodProducts
            (Profinite.NobelingProof.π C fun x => Profinite.NobelingProof.ord I x < o)))
      (l : ↑(Profinite.NobelingProof.GoodProducts.MaxProducts C ho)), List.Lex (fun x1 x2 => x1 < x2) ↑↑q ↑↑l

Defined in

Mathlib.Topology.Category.Profinite.Nobeling.Successor

Cited by

1 results in Mathlib

Foundations

Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderWellFoundedLT