Theorems · Theorem · logic and foundations
Ordinal.type_toType
∀ (o : Ordinal.{u_1}), (Ordinal.type fun x1 x2 => x1 < x2) = o- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Ordinal.typestatement · cited by 207
- IsWellOrderstatement · cited by 171
- Ordinal.ToTypestatement · cited by 143
- Quotient.out_eqproof · cited by 27
Cited by29
Results whose statement or proof uses this declaration.
- Ordinal.familyOfBFamilyproof · cited by 12
- Cardinal.mk_toTypeproof · cited by 12
- Ordinal.cof_toTypeproof · cited by 7
- Ordinal.bsup_le_iffproof · cited by 4
- Ordinal.typein_lt_selfproof · cited by 3
- Ordinal.typein_ordinalproof · cited by 3
- Ordinal.range_familyOfBFamilyproof · cited by 3
- Ordinal.iSup'_eq_bsupproof · cited by 3
- Ordinal.lsub_eq_blsubproof · cited by 3
- Cardinal.noMaxOrderproof · cited by 3
- Ordinal.cof_blsub_le_liftproof · cited by 3
- Ordinal.nonempty_toType_iffproof · cited by 3