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Syntax Definition walsi 11072
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 least one  x where  ph is true. (Contributed by David A. Wheeler, 20-Oct-2018.)
Hypotheses
Ref Expression
wph  wff  ph
wps  wff  ps
vx  setvar  x
Assertion
Ref Expression
walsi  wff  A.! x
( ph  ->  ps )

See definition df-alsi 11074 for more information.

Colors of variables: wff set class
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