Theorems · Theorem · real analysis
Real.two_mul_le_exp
∀ {x : ℝ}, 2 * x ≤ Real.exp x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- LT.lt.leproof · cited by 2,189
- le_transproof · cited by 985
- Real.expstatement and proof · cited by 871
- le_of_not_gtproof · cited by 430
- mul_le_mul_of_nonneg_rightproof · cited by 301
- one_add_one_eq_twoproof · cited by 65
- mul_nonpos_of_nonneg_of_nonposproof · cited by 21
- Real.exp_nonnegproof · cited by 21
- Real.add_one_le_expproof · cited by 13
- Real.exp_one_mul_le_expproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Real.norm_deriv_mulExpNegMulSq_le_oneproof · cited by 1