Theorems · Theorem · complex analysis
Real.exp_lt_exp
∀ {x y : ℝ}, Real.exp x < Real.exp y ↔ x < y- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 871
- StrictMono.lt_iff_ltproof · cited by 86
- Real.exp_strictMonoproof · cited by 17
Cited by11
Results whose statement or proof uses this declaration.
- Real.rpow_lt_rpowproof · cited by 12
- Real.log_lt_logproof · cited by 10
- Real.log_lt_log_iffproof · cited by 8
- Real.exp_lt_one_iffproof · cited by 7
- Real.rpow_lt_rpow_of_exponent_gtproof · cited by 5
- Real.rpow_lt_rpow_of_exponent_ltproof · cited by 5
- Real.lt_log_iff_exp_ltproof · cited by 4
- Real.one_lt_exp_iffproof · cited by 3
- Real.log_lt_iff_lt_expproof · cited by 3
- Real.Gamma_three_div_two_lt_oneproof · cited by 2
- Function.Periodic.norm_qParam_lt_iffproof · cited by 1