Theorems · Theorem · real analysis
Real.logb_one
∀ {b : ℝ}, Real.logb b 1 = 0- Cited by
- 7 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.logproof · cited by 939
- zero_divproof · cited by 222
- Real.logbstatement · cited by 119
- Real.log_oneproof · cited by 91
Cited by7
Results whose statement or proof uses this declaration.
- Real.logb_pos_iffproof · cited by 2
- Real.logb_pos_iff_of_base_lt_oneproof · cited by 2
- Real.logb_neg_iff_of_base_lt_oneproof · cited by 2
- Real.logb_neg_iffproof · cited by 2
- Real.eq_one_of_pos_of_logb_eq_zeroproof · cited by 1
- Real.logb_prodproof · cited by 1
- Real.eq_one_of_pos_of_logb_eq_zero_of_base_lt_oneproof · cited by 1