ForAll
ForAll[x, expr] represents the statement that expr is True for all values of x.
ForAll[x, cond, expr] states that expr is True for all x satisfying condition cond.
Examples
Universal quantification:
Resolve[ForAll[x, x^2 >= 0], Reals]
(* True *)With a condition:
Resolve[ForAll[x, x > 0, Log[x] < x]]
(* True *)Please visit the official Wolfram Language Reference for more details.