Theorems · Theorem · number theory
Behrend.div_lt_floor
∀ {x : ℝ}, 2 / (1 - 2 / Real.exp 1) ≤ x → x / Real.exp 1 < ↑⌊x / 2⌋₊- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.expstatement and proof · cited by 871
- lt_of_le_of_ltproof · cited by 432
- two_ne_zeroproof · cited by 251
- Nat.floorstatement · cited by 215
- mul_subproof · cited by 201
- Real.exp_posproof · cited by 169
- sub_posproof · cited by 147
- zero_lt_twoproof · cited by 124
- div_le_iff₀proof · cited by 97
- div_lt_oneproof · cited by 38
- one_le_divproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- Behrend.boundproof · cited by 1