⊢ exp 1 < 0.36787944116⁻¹


⊢ 0 < 0.36787944116
⊢ 0.36787944116 < exp (-1)
rw [exp_neg, lt_inv _ (exp_pos _)]
⊢ 1 / 10 ^ 10 + 2244083 / 825552 < 0.36787944116⁻¹


⊢ 0 < 0.36787944116
⊢ exp 1 < 0.36787944116⁻¹


⊢ 0 < 0.36787944116
refine' lt_of_le_of_lt (sub_le_iff_le_add.1 (abs_sub_le_iff.1 exp_one_near_10).1) _
no goals
⊢ 1 / 10 ^ 10 + 2244083 / 825552 < 0.36787944116⁻¹


⊢ 0 < 0.36787944116
all_goals norm_num
no goals
⊢ 0 < 0.36787944116
norm_num