Theorems · Theorem · number theory
Int.log_of_one_le_right
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [inst_2 : FloorSemiring R] (b : ℕ) {r : R},
1 ≤ r → Int.log b r = ↑(Nat.log b ⌊r⌋₊)- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Semifieldstatement and proof · cited by 439
- Nat.floorstatement · cited by 215
- FloorSemiringstatement and proof · cited by 179
- Nat.logstatement · cited by 101
- Int.logstatement · cited by 25
Cited by8
Results whose statement or proof uses this declaration.
- Int.log_natCastproof · 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
- Int.log_one_rightproof · cited by 0