Hi,
I've a question on proving set subset relation, and apply MATCH to set.
Here's a goal:
?la ins. ins IN c /\ INS_SPEC lq ins la
------------------------------------
0. !lq.
lq IN BIGUNION {run_to i lp c | i < k} ==>
?la ins. ins IN c /\ INS_SPEC lq ins la
1. i < k
2. lq IN BIGUNION {run_to i' lp c | i' < i}
Obviously, if I prove BIGUNION {run_to i' lp c | i' < i}
in 2 is a subset of BIGUNION {run_to i lp c | i < k} in 0 with i < k,
then I can apply a match on the element of the set and solve the goal.
My question is that how I can prove this obvious subset relation between
the two sets and apply or match it to assumption 0 to prove the goal.
Thank you very much.
Lu
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