AND_PFORALL_CONV : conv
STRUCTURE
PairRules
LIBRARY
pair
SYNOPSIS
Moves a paired universal quantification outwards through a conjunction.
DESCRIPTION
When applied to a term of the form
(!p. t) /\ (!p. t)
, the conversion
AND_PFORALL_CONV
returns the theorem:
|- (!p. t) /\ (!p. u) = (!p. t /\ u)
FAILURE
Fails if applied to a term not of the form
(!p. t) /\ (!p. t)
.
SEEALSO
AND_FORALL_CONV
,
PFORALL_AND_CONV
,
LEFT_AND_PFORALL_CONV
,
RIGHT_AND_PFORALL_CONV
HOL
Kananaskis-14