Theorems · Definition · category theory
Profinite.NobelingProof.P
(I : Type u) → [inst : LinearOrder I] → [WellFoundedLT I] → Ordinal.{u} → PropThe predicate on ordinals which we prove by induction, see GoodProducts.P0,
GoodProducts.Plimit and GoodProducts.linearIndependentAux in the section Induction below
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Ordinalstatement and proof · cited by 1,688
- IsClosedproof · cited by 1,639
- LinearIndependentproof · cited by 560
- WellFoundedLTstatement and proof · cited by 491
- Ordinal.typeproof · cited by 207
- Profinite.NobelingProof.containedproof · cited by 34
- Profinite.NobelingProof.GoodProducts.evalproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.GoodProducts.linearIndependentAuxstatement and proof · cited by 1
- Profinite.NobelingProof.GoodProducts.P0statement · cited by 1
- Profinite.NobelingProof.GoodProducts.Plimitstatement and proof · cited by 1