Syntax Definition wals 17034

Description: Extend wff definition to include "all some" applied to a top-level implication, which means ps is true whenever ph is true, and there is at least one x where ph is true. (Contributed by David A. Wheeler, 20-Oct-2018.) (Revised by David A. Wheeler, 12-Jul-2026.)

Hypotheses

Ref	Expression
wph	wff ph
wps	wff ps
vx	setvar x

Assertion

Ref	Expression
wals	wff A.E. x ( ph -> ps )

See definition df-als 17036 for more information.