Mathlib Map

Theorems · Theorem · logic and foundations

Ordinal.isSuccLimit_mul_right

∀ {a b : Ordinal.{u_4}}, 0 < a → Order.IsSuccLimit b → Order.IsSuccLimit (a * b)
Defined in
Mathlib.SetTheory.Ordinal.Arithmetic
Cited by
5 results in Mathlib
Foundations
Depth 41 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.

ONote.fundamentalSequence_has_prop · cited by 5ONote.fundamentalSequence…Ordinal.isSuccLimit_opow_left · cited by 1Ordinal.isSuccLimit_opow_…Ordinal.isSuccLimit_mul_left · cited by 1Ordinal.isSuccLimit_mul_l…Ordinal.isSuccPrelimit_mul_right · cited by 0Ordinal.isSuccPrelimit_mu…Ordinal.isSuccLimit_mul · cited by 0Ordinal.isSuccLimit_mulOrdinal · cited by 1688OrdinalOrder.IsSuccLimit · cited by 255Order.IsSuccLimitOrdinal.isNormal_mul_right · cited by 14Ordinal.isNormal_mul_rightOrder.IsNormal.map_isSuccLimit · cited by 4IsNormal.map_isSuccLimitOrdinal.isSuccLimit_mul_rightCITED BYCITES

Cites4

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

Cited by5

Results whose statement or proof uses this declaration.