Keyboard shortcuts

Press or to navigate between chapters

Press S or / to search in the book

Press ? to show this help

Press Esc to hide this help

FORALL_NOT_CONV

Conv.FORALL_NOT_CONV : conv

Moves a universal quantification inwards through a negation.

When applied to a term of the form !x.~P, the conversion FORALL_NOT_CONV returns the theorem:

   |- (!x.~P) = ~(?x. P)

Failure

Fails if applied to a term not of the form !x.~P.

See also

Conv.EXISTS_NOT_CONV, Conv.NOT_EXISTS_CONV, Conv.NOT_FORALL_CONV