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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.

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