Theorems · Theorem · number theory
Int.self_le_zpow_clog
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
{b : ℕ}, 1 < b → ∀ (r : R), r ≤ ↑b ^ Int.clog b r- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 1 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.
Cites19
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
- LE.le.transproof · cited by 3,151
- IsStrictOrderedRingstatement and proof · cited by 2,490
- LE.le.trans_ltproof · cited by 795
- Semifieldstatement and proof · cited by 439
- zero_le_oneproof · cited by 316
- le_or_gtproof · cited by 269
- zpow_negproof · cited by 198
- FloorSemiringstatement and proof · cited by 179
- inv_posproof · cited by 124
- Nat.cast_posproof · cited by 113
- zpow_zeroproof · cited by 52
Cited by1
Results whose statement or proof uses this declaration.
- Real.ceil_logb_natCastproof · cited by 1