I am trying to create a theorem named "absorptionRule" by packaging the tactics that are used to prove the goal !(p:bool) (q:bool). (p==>q) ==> p ==> p /\ q
. However, I am getting an exception on ACCEPT_TAC. When I execute each tactic one-by-one, everything works fine.
val absorptionRule =
TAC_PROOF(
([],``!(p:bool) (q:bool).(p ==> q) ==> p ==> p /\ q``),
REPEAT STRIP_TAC THEN
ACCEPT_TAC(ASSUME ``p:bool``) THEN
RES_TAC);
The THEN
tactical applies the second tactic to all the subgoals produced by the first tactic (source). But ACCEPT_TAC (ASSUME ``p:bool``)
only applies to the first subgoal. You do not see any problem when you apply the tactics one-by-one because you never try to apply the ACCEPT_TAC
to the second subgoal. The following solution uses THENL
instead of THEN
.
val g1 = (([], ``!(p:bool) (q:bool). (p ==> q) ==> p ==> p /\ q``) : goal);
val absorptionRule =
TAC_PROOF (g1,
REPEAT STRIP_TAC
THENL [ACCEPT_TAC (ASSUME ``p:bool``), RES_TAC]);