Theorems · Theorem · logic and foundations
Ordinal.log_opow_mul
∀ {b v : Ordinal.{u_1}}, 1 < b → ∀ (u : Ordinal.{u_1}), v ≠ 0 → Ordinal.log b (b ^ u * v) = u + Ordinal.log b v- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- Ordinalstatement and proof · cited by 1,688
- Ordinal.logstatement and proof · cited by 45
- Ordinal.opow_posproof · cited by 22
- bot_lt_of_ltproof · cited by 3
- Ordinal.log_opow_mul_addproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.log_opowproof · cited by 0