Users' Mathboxes Mathbox for David A. Wheeler < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  walsi Structured version   Visualization version   GIF version

Syntax Definition walsi 45990
Description: Extend wff definition to include "all some" applied to a top-level implication, which means 𝜓 is true whenever 𝜑 is true, and there is at least least one 𝑥 where 𝜑 is true. (Contributed by David A. Wheeler, 20-Oct-2018.)
Hypotheses
Ref Expression
wph wff 𝜑
wps wff 𝜓
vx setvar 𝑥
Assertion
Ref Expression
walsi wff ∀!𝑥(𝜑𝜓)

See definition df-alsi 45992 for more information.

Colors of variables: wff setvar class
  Copyright terms: Public domain W3C validator