Theorems · Theorem · logic and foundations
Ordinal.opow_lt_opow_left_of_succ
∀ {a b c : Ordinal.{u_1}}, a < b → a ^ Order.succ c < b ^ Order.succ c- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 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.
- Ordinalstatement and proof · cited by 1,688
- le_of_ltproof · cited by 1,175
- Order.succstatement and proof · cited by 633
- zero_leproof · cited by 382
- Ordinal.opow_posproof · cited by 22
- Ordinal.opow_succproof · cited by 11
- LT.lt.bot_ltproof · cited by 6
- mul_lt_mul_of_le_of_lt_of_nonneg_of_posproof · cited by 5
- Ordinal.opow_le_opow_leftproof · cited by 4
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