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Proof step 13 from proof inv-allocate-gnd (previous step)

remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore0), inv(gstore \ ginval), ri-inj(fi1), ri-inj(fi2) ⊦ dups(nx), ∃ n. ¬ n ∈ gstore

User applied rule exists right

And obtained the following new goals

Proof step 14:
remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval), inv(gstore0), ri-inj(fi2), ri-inj(fi1), (dom gstore).max + 1 ∈ gstore ⊦ dups(nx)

Rule argument

pos: right 2 terms: (dom gstore).max + 1 abort: F discard: T computed: F

Additional information

Used terms: (dom gstore).max + 1