Theorems · Theorem · real analysis
Real.natFloor_logb_natCast
∀ (b n : ℕ), ⌊Real.logb ↑b ↑n⌋₊ = Nat.log b n
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- 0 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
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
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- eq_or_neproof · cited by 1,117
- Real.logproof · cited by 939
- Nat.cast_addproof · cited by 586
- CharP.cast_eq_zeroproof · cited by 357
- div_zeroproof · cited by 251
- Nat.floorstatement and proof · cited by 215
- Real.logbstatement and proof · cited by 119
- Nat.logstatement and proof · cited by 101
- Real.log_oneproof · cited by 91
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