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Syntax Definition walsc 42342
Description: Extend wff definition to include "all some" applied to a class, which means 𝜑 is true for all 𝑥 in 𝐴, and there is at least one 𝑥 in 𝐴. (Contributed by David A. Wheeler, 20-Oct-2018.)
Ref Expression
wph wff 𝜑
vx setvar 𝑥
cA class 𝐴
Ref Expression
walsc wff ∀!𝑥𝐴𝜑

See definition df-alsc 42344 for more information.

Colors of variables: wff setvar class
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