Theorems · Theorem · logic and foundations
Ordinal.log_eq_zero
∀ {b o : Ordinal.{u_1}}, o < b → Ordinal.log b o = 0- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- Ordinalstatement and proof · cited by 1,688
- eq_or_neproof · cited by 1,117
- le_or_gtproof · cited by 269
- nonpos_iff_eq_zeroproof · cited by 100
- Ordinal.logstatement and proof · cited by 45
- Ordinal.opow_oneproof · cited by 14
- Order.lt_add_one_iffproof · cited by 13
- Order.le_one_iffproof · cited by 10
- Ordinal.log_zero_rightproof · cited by 8
- Ordinal.lt_opow_iff_log_ltproof · cited by 4
- Ordinal.log_zero_leftproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.CNF.of_ltproof · cited by 1
- Ordinal.CNF.opow_mul_addproof · cited by 1
- Ordinal.log_one_rightproof · cited by 1