Theorems · Theorem · logic and foundations
Ordinal.opow_dvd_opow_iff
∀ {a b c : Ordinal.{u_1}}, 1 < a → (a ^ b ∣ a ^ c ↔ b ≤ c)- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.leproof · cited by 2,189
- Ordinalstatement and proof · cited by 1,688
- le_of_not_gtproof · cited by 430
- not_le_of_gtproof · cited by 97
- Order.one_le_iff_ne_zeroproof · cited by 32
- Ordinal.opow_ne_zeroproof · cited by 10
- Ordinal.opow_lt_opow_iff_rightproof · cited by 8
- Ordinal.le_of_dvdproof · cited by 3
- Ordinal.opow_dvd_opowproof · cited by 3
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