Mathlib Map

Theorems · Theorem · logic and foundations

Ordinal.enumOrd_strictMono

∀ {s : Set Ordinal.{u}}, ¬BddAbove s → StrictMono (Ordinal.enumOrd s)
Defined in
Mathlib.SetTheory.Ordinal.Enum
Cited by
10 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Ordinal.range_enumOrd · cited by 4Ordinal.range_enumOrdOrdinal.eq_enumOrd · cited by 2Ordinal.eq_enumOrdOrdinal.enumOrdOrderIso · cited by 1Ordinal.enumOrdOrderIsoOrdinal.enumOrd_injective · cited by 1Ordinal.enumOrd_injectiveOrdinal.enumOrd_succ_le · cited by 1Ordinal.enumOrd_succ_leOrdinal.isNormal_enumOrd · cited by 0Ordinal.isNormal_enumOrdOrdinal.enumOrd_isNormal_iff_isClosed · cited by 0Ordinal.enumOrd_isNormal_…Ordinal.enumOrd_le_enumOrd · cited by 0Ordinal.enumOrd_le_enumOrdOrdinal.enumOrd_lt_enumOrd · cited by 0Ordinal.enumOrd_lt_enumOrdOrdinal.le_enumOrd_self · cited by 0Ordinal.le_enumOrd_selfOrdinal.id_le_enumOrd · cited by 0Ordinal.id_le_enumOrdSet · cited by 53352SetOrdinal · cited by 1688OrdinalStrictMono · cited by 706StrictMonoBddAbove · cited by 620BddAboveOrdinal.enumOrd · cited by 23Ordinal.enumOrdOrdinal.enumOrd_strictMonoCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by11

Results whose statement or proof uses this declaration.