Theorems · Theorem · logic and foundations
Ordinal.lt_mul_iff_of_isSuccLimit
∀ {a b c : Ordinal.{u_4}}, Order.IsSuccLimit c → (a < b * c ↔ ∃ c' < c, a < b * c')- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Iff.notproof · cited by 489
- Order.IsSuccLimitstatement and proof · cited by 255
- Ordinal.mul_le_iff_of_isSuccLimitproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.isPrincipal_add_mul_of_isPrincipal_addproof · cited by 1