Theorems · Definition · category theory
Profinite.NobelingProof.term
(I : Type u) →
[inst : LinearOrder I] → [inst_1 : WellFoundedLT I] → {o : Ordinal.{u}} → (o < Ordinal.type fun x1 x2 => x1 < x2) → IAn ordinal regarded as a term of I.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 37 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- LinearOrderstatement and proof · cited by 8,572
- Ordinalstatement and proof · cited by 1,688
- WellFoundedLTstatement and proof · cited by 491
- Ordinal.typestatement and proof · cited by 207
- Ordinal.enumproof · cited by 39
Cited by25
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.GoodProducts.MaxProductsproof · cited by 17
- Profinite.NobelingProof.C1proof · cited by 9
- Profinite.NobelingProof.ord_termstatement and proof · cited by 6
- Profinite.NobelingProof.C0proof · cited by 6
- Profinite.NobelingProof.ord_term_auxstatement · cited by 5
- Profinite.NobelingProof.Products.max_eq_o_cons_tailstatement and proof · cited by 4
- Profinite.NobelingProof.GoodProducts.max_eq_o_cons_tailstatement and proof · cited by 4
- Profinite.NobelingProof.isClosed_C0proof · cited by 2
- Profinite.NobelingProof.isClosed_C1proof · cited by 2
- Profinite.NobelingProof.Products.max_eq_evalstatement and proof · cited by 2
- Profinite.NobelingProof.GoodProducts.head!_eq_o_of_maxProductsstatement and proof · cited by 2
- Profinite.NobelingProof.GoodProducts.max_eq_evalproof · cited by 2