PFORALL_AND_CONV : conv
STRUCTURE
PairRules
LIBRARY
pair
SYNOPSIS
Moves a paired universal quantification inwards through a conjunction.
DESCRIPTION
When applied to a term of the form
!p. t /\ u
, the conversion
PFORALL_AND_CONV
returns the theorem:
|- (!p. t /\ u) = (!p. t) /\ (!p. u)
FAILURE
Fails if applied to a term not of the form
!p. t /\ u
.
SEEALSO
FORALL_AND_CONV
,
AND_PFORALL_CONV
,
LEFT_AND_PFORALL_CONV
,
RIGHT_AND_PFORALL_CONV
HOL
Trindemossen-1