AND_FORALL_CONV : conv
STRUCTURE
Conv
SYNOPSIS
Moves a universal quantification outwards through a conjunction.
DESCRIPTION
When applied to a term of the form
(!x.P) /\ (!x.Q)
, the conversion
AND_FORALL_CONV
returns the theorem:
|- (!x.P) /\ (!x.Q) = (!x. P /\ Q)
FAILURE
Fails if applied to a term not of the form
(!x.P) /\ (!x.Q)
.
COMMENTS
It may be easier to use higher order rewriting with
FORALL_AND_THM
.
SEEALSO
FORALL_AND_CONV
,
LEFT_AND_FORALL_CONV
,
RIGHT_AND_FORALL_CONV
HOL
Trindemossen-1