LEFT_AND_PFORALL_CONV : conv
STRUCTURE
PairRules
LIBRARY
pair
SYNOPSIS
Moves a paired universal quantification of the left conjunct outwards through a conjunction.
DESCRIPTION
When applied to a term of the form
(!p. t) /\ u
, the conversion
LEFT_AND_PFORALL_CONV
returns the theorem:
|- (!p. t) /\ u = (!p'. t[p'/p] /\ u)
where
p'
is a primed variant of
p
that does not appear free in the input term.
FAILURE
Fails if applied to a term not of the form
(!p. t) /\ u
.
SEEALSO
LEFT_AND_FORALL_CONV
,
AND_PFORALL_CONV
,
PFORALL_AND_CONV
,
RIGHT_AND_PFORALL_CONV
HOL
Kananaskis-14