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Theorems · Theorem · logic and foundations

Ordinal.iSup_natCast

iSup Nat.cast = Ordinal.omega0
Defined in
Mathlib.SetTheory.Ordinal.Family
Cited by
4 results in Mathlib
Foundations
Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Ordinal.preOmega_omega0 · cited by 4Ordinal.preOmega_omega0Ordinal.apply_omega0_of_isNormal · cited by 2Ordinal.apply_omega0_of_i…Ordinal.iSup_mul_natCast · cited by 1Ordinal.iSup_mul_natCastOrdinal.iSup_add_natCast · cited by 0Ordinal.iSup_add_natCastiSup · cited by 2415iSupLT.lt.le · cited by 2189lt.leOrdinal · cited by 1688OrdinalLE.le.antisymm · cited by 507le.antisymmOrdinal.omega0 · cited by 197Ordinal.omega0Ordinal.natCast_lt_omega0 · cited by 24Ordinal.natCast_lt_omega0Ordinal.le_iSup · cited by 19Ordinal.le_iSupOrdinal.iSup_le · cited by 18Ordinal.iSup_leOrdinal.omega0_le · cited by 2Ordinal.omega0_leOrdinal.iSup_natCastCITED BYCITES

Cites9

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

Cited by4

Results whose statement or proof uses this declaration.