Theorems · Theorem · number theory
Int.log_of_right_le_zero
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
(b : ℕ) {r : R}, r ≤ 0 → Int.log b r = 0- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- neg_zeroproof · cited by 542
- Semifieldstatement and proof · cited by 439
- zero_le_oneproof · cited by 316
- FloorSemiringstatement and proof · cited by 179
- Eq.trans_leproof · cited by 155
- Int.logstatement · cited by 25
- inv_nonposproof · cited by 9
- Int.log_of_right_le_oneproof · cited by 8
- Nat.ceil_eq_zeroproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Int.clog_invproof · cited by 2
- Int.lt_zpow_succ_log_selfproof · cited by 1
- Int.log_zero_rightproof · cited by 1