Theorems · Theorem · number theory
Int.lt_zpow_succ_log_self
∀ {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.log b r + 1)- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
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
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- zero_addproof · cited by 2,366
- LT.lt.leproof · cited by 2,189
- LE.le.trans_ltproof · cited by 795
- LT.lt.trans_leproof · cited by 678
- zero_lt_oneproof · cited by 598
- Semifieldstatement and proof · cited by 439
- LT.lt.transproof · cited by 370
- pow_posproof · cited by 292
- neg_subproof · cited by 272
Cited by1
Results whose statement or proof uses this declaration.
- Int.zpow_pred_clog_lt_selfproof · cited by 0