Theorems · Theorem · complex analysis
Real.exp_strictMono
StrictMono Real.exp
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Real.expstatement and proof · cited by 871
- StrictMonostatement · cited by 706
- lt_of_lt_of_leproof · cited by 438
- le_of_not_gtproof · cited by 430
- lt_of_not_geproof · cited by 374
- sub_add_cancelproof · cited by 344
- Real.exp_posproof · cited by 169
- Real.exp_addproof · cited by 39
- lt_mul_iff_one_lt_leftproof · cited by 3
Cited by17
Results whose statement or proof uses this declaration.
- Real.exp_monotoneproof · cited by 30
- Real.exp_le_expproof · cited by 16
- Real.exp_injectiveproof · cited by 12
- Real.exp_lt_expproof · cited by 11
- Real.sigmoid_strictMonoproof · cited by 5
- EReal.exp_strictMonoproof · cited by 3
- Real.strictAnti_rpow_of_base_lt_oneproof · cited by 3
- one_add_mul_self_lt_rpow_one_addproof · cited by 2
- Real.strictMono_rpow_of_base_gt_oneproof · cited by 2
- Real.image_exp_Ioiproof · cited by 2
- rpow_one_add_lt_one_add_mul_selfproof · cited by 1
- Real.image_exp_Iccproof · cited by 0