Theorems · Theorem · number theory
Int.log_of_right_le_one
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
(b : ℕ) {r : R}, r ≤ 1 → Int.log b r = -↑(Nat.clog b ⌈r⁻¹⌉₊)- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- IsStrictOrderedRingstatement and proof · cited by 2,490
- neg_zeroproof · cited by 542
- Semifieldstatement and proof · cited by 439
- LT.lt.not_geproof · cited by 305
- inv_oneproof · cited by 301
- LE.le.eq_or_ltproof · cited by 220
- Nat.floorproof · cited by 215
- FloorSemiringstatement and proof · cited by 179
- Nat.ceilstatement and proof · cited by 141
- Nat.logproof · cited by 101
- Nat.clogstatement and proof · cited by 43
Cited by8
Results whose statement or proof uses this declaration.
- Int.log_natCastproof · cited by 3
- Int.log_of_right_le_zeroproof · cited by 3
- Int.zpow_log_le_selfproof · cited by 2
- Int.clog_invproof · cited by 2
- Int.log_mono_rightproof · cited by 1
- Int.log_of_left_le_oneproof · cited by 1
- Int.log_zpowproof · cited by 1
- Int.lt_zpow_succ_log_selfproof · cited by 1