Theorems · Theorem · number theory
Int.neg_log_inv_eq_clog
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
(b : ℕ) (r : R), -Int.log b r⁻¹ = Int.clog b r- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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_negproof · cited by 960
- Semifieldstatement and proof · cited by 439
- FloorSemiringstatement and proof · cited by 179
- Int.logstatement · cited by 25
- Int.clogstatement and proof · cited by 21
- Int.log_invproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Int.self_le_zpow_clogproof · cited by 1
- Int.clog_zpowproof · cited by 0
- Int.zpow_pred_clog_lt_selfproof · cited by 0
- Int.clog_mono_rightproof · cited by 0
- Int.clog_of_left_le_oneproof · cited by 0