Theorems · Theorem · real analysis
Real.logb_zero
∀ {b : ℝ}, Real.logb b 0 = 0- Cited by
- 5 results in Mathlib
- Foundations
- Depth 170 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_zeroproof · cited by 84
Cited by5
Results whose statement or proof uses this declaration.
- Real.floor_logb_natCastproof · cited by 2
- Real.logb_nonpos_iff'proof · cited by 1
- Real.ceil_logb_natCastproof · cited by 1
- Real.natFloor_logb_natCastproof · cited by 0
- Real.natCeil_logb_natCastproof · cited by 0