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Theorems · Theorem · logic and foundations

Ordinal.isSuccLimit_add

∀ (a : Ordinal.{u_4}) {b : Ordinal.{u_4}}, Order.IsSuccLimit b → Order.IsSuccLimit (a + b)
Defined in
Mathlib.SetTheory.Ordinal.Arithmetic
Cited by
2 results in Mathlib
Foundations
Depth 46 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.

ONote.fundamentalSequence_has_prop · cited by 5ONote.fundamentalSequence…Ordinal.isSuccLimit_mul_left · cited by 1Ordinal.isSuccLimit_mul_l…Ordinal · cited by 1688OrdinalOrder.IsSuccLimit · cited by 255Order.IsSuccLimitOrdinal.isNormal_add_right · cited by 13Ordinal.isNormal_add_rightOrder.IsNormal.map_isSuccLimit · cited by 4IsNormal.map_isSuccLimitOrdinal.isSuccLimit_addCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.