Theorems · Theorem · logic and foundations
Ordinal.cof_map_of_isNormal
∀ {f : Ordinal.{u_1} → Ordinal.{u_1}}, Order.IsNormal f → ∀ {a : Ordinal.{u_1}}, Order.IsSuccLimit a → (f a).cof = a.cof- Cited by
- 7 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Set.Iioproof · cited by 1,166
- Order.IsSuccLimitstatement and proof · cited by 255
- Ordinal.cofstatement and proof · cited by 125
- Order.IsNormalstatement and proof · cited by 118
- Order.IsNormal.strictMonoproof · cited by 44
- Order.IsSuccLimit.isSuccPrelimitproof · cited by 37
- StrictMono.compproof · cited by 36
- Subtype.strictMono_coeproof · cited by 12
- Order.IsNormal.apply_of_isSuccLimitproof · cited by 7
- Ordinal.cof_iSup_Iioproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- Ordinal.cof_addproof · cited by 2
- Ordinal.le_cof_map_of_isNormalproof · cited by 1
- Ordinal.cof_omegaproof · cited by 1
- Ordinal.cof_preOmegaproof · cited by 0
- Ordinal.IsFundamentalSeq.comp_isNormalproof · cited by 0
- Ordinal.cof_eq_of_isNormalproof · cited by 0
- Ordinal.cof_mulproof · cited by 0