Theorems · Theorem · logic and foundations
Ordinal.log_zero_right
∀ (b : Ordinal.{u_1}), Ordinal.log b 0 = 0- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.preimageproof · cited by 4,946
- Bot.botproof · cited by 4,720
- Set.extproof · cited by 2,266
- Ordinalstatement and proof · cited by 1,688
- eq_or_neproof · cited by 1,117
- Set.Iicproof · cited by 1,111
- SupSet.sSupproof · cited by 954
- SupSetproof · cited by 154
- Ordinal.logstatement · cited by 45
- csSup_emptyproof · cited by 28
- Ordinal.log_zero_leftproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- Ordinal.lt_opow_succ_log_selfproof · cited by 5
- Ordinal.log_eq_zeroproof · cited by 3
- Ordinal.CNF.fst_le_logproof · cited by 2
- Ordinal.opow_le_iff_le_log'proof · cited by 2
- Ordinal.log_mod_opow_log_lt_log_selfproof · cited by 1
- Ordinal.log_mono_rightproof · cited by 1
- Ordinal.log_le_selfproof · cited by 0
- Ordinal.natCast_logproof · cited by 0