Theorems · Theorem · category theory

Profinite.NobelingProof.GoodProducts.max_eq_eval

∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] [inst_1 : WellFoundedLT I] {o : Ordinal.{u}}
  (hsC : Profinite.NobelingProof.contained C (Order.succ o)) (ho : o < Ordinal.type fun x1 x2 => x1 < x2)
  (l : ↑(Profinite.NobelingProof.GoodProducts.MaxProducts C ho)),
  (Profinite.NobelingProof.Linear_CC' C hsC ho) (Profinite.NobelingProof.Products.eval C ↑l) =
    Profinite.NobelingProof.Products.eval (Profinite.NobelingProof.C' C ho) (↑l).Tail

Defined in

Mathlib.Topology.Category.Profinite.Nobeling.Successor

Cited by

2 results in Mathlib

Foundations

Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderWellFoundedLT