Theorems · Theorem · logic and foundations
Ordinal.cof_toType
∀ (o : Ordinal.{u_1}), Order.cof o.ToType = o.cof- Cited by
- 7 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Ordinal.ToTypestatement and proof · cited by 143
- Ordinal.cofstatement and proof · cited by 125
- Order.cofstatement and proof · cited by 86
- Ordinal.type_toTypeproof · cited by 28
- Ordinal.cof_typeproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- Ordinal.cof_eq_zeroproof · cited by 4
- Ordinal.cof_le_cardproof · cited by 3
- Ordinal.cof_ord_cofproof · cited by 2
- Ordinal.cof_eq_sInf_lsubproof · cited by 2
- Ordinal.exists_isFundamentalSeqproof · cited by 1
- Ordinal.cof_eq_cof_toTypeproof · cited by 0
- Ordinal.cof_lt_aleph0_iffproof · cited by 0