Theorems · Theorem · number theory
Int.clog_mono_right
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
{b : ℕ} {r₁ r₂ : R}, 0 < r₁ → r₁ ≤ r₂ → Int.clog b r₁ ≤ Int.clog b r₂- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Semifieldstatement and proof · cited by 439
- lt_of_lt_of_leproof · cited by 438
- FloorSemiringstatement and proof · cited by 179
- inv_pos_of_posproof · cited by 123
- neg_le_neg_iffproof · cited by 57
- Int.logproof · cited by 25
- inv_le_inv₀proof · cited by 23
- Int.clogstatement and proof · cited by 21
- Int.neg_log_inv_eq_clogproof · cited by 5
- Int.log_mono_rightproof · cited by 1
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