def
definition
def or abbrev
Jlog
show as:
view Lean formalization →
formal statement (Lean)
7noncomputable def Jlog (t : ℝ) : ℝ := ((Real.exp t + Real.exp (-t)) / 2) - 1
proof body
Definition body.
8
used by (40)
-
deriv_Jlog_zero -
EL_global_min -
EL_stationary_at_zero -
hasDerivAt_Jlog -
hasDerivAt_Jlog_zero -
Jlog -
Jlog_as_cosh -
Jlog_eq_zero_iff -
Jlog_nonneg -
Jlog_zero -
deriv2_Jlog -
deriv_Jlog -
hasDerivAt_Jlog_new -
Jcost_comp_exp_eq_Jlog -
Jcost_comp_exp_second_deriv_at_zero -
Jlog_eq_cosh -
Jlog_second_deriv_at_zero -
Jlog_unit_curvature -
Jcost_as_composition -
Jlog_eq_cosh_sub_one -
Jlog_strictConvexOn -
Flog_eq_Jlog -
Flog_eq_Jlog_pt -
hasDerivAt_Flog_of_derivation -
hasDerivAt_Jlog -
Jlog -
Jlog_eq_zero_iff -
Jlog_nonneg -
Jlog_as_exp -
Jlog_eq_cosh_sub_one