Syntax Definition wrals 17035

Description: Extend wff definition to include "all some" applied to a class, which means ps is true whenever ph is true for x in A, and there is at least one x in A 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
cA	class A

Assertion

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

See definition df-rals 17037 for more information.