Theorems · Theorem · real analysis
Real.exp_one_mul_le_exp
∀ {x : ℝ}, Real.exp 1 * x ≤ Real.exp x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- le_transproof · cited by 985
- Real.logproof · cited by 939
- Real.expstatement and proof · cited by 871
- lt_of_not_geproof · cited by 374
- Real.exp_posproof · cited by 169
- Real.exp_logproof · cited by 58
- Real.exp_addproof · cited by 39
- mul_nonpos_of_nonneg_of_nonposproof · cited by 21
- Real.exp_nonnegproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- Real.two_mul_le_expproof · cited by 1