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Proof step 9 from proof crash-neutral-deallocate-gnd (previous step)

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), n ∈ gstore, n ∈ gstore0, ¬ dups(nx), ¬ n ∈ nx ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; gstore1 := crash(gstore, gstore0, ginval, nx); ginval1 := ginval; if err = ESUCCESS then gstore := gstore -- n, ginval := ginval ++ n⟩ (ginval1 = ginval ∧ gstore1 = crash(gstore, gstore0, ginval, nx))

User applied rule exists right

And obtained the following new goals

Proof step 10:
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), n ∈ gstore0, n ∈ gstore ⊦ (⌊EIO⌋ ∨ EIO = ESUCCESS) ∧ ⟨err := EIO; gstore1 := crash(gstore, gstore0, ginval, nx); ginval1 := ginval; if err = ESUCCESS then gstore := gstore -- n, ginval := ginval ++ n⟩ (ginval1 = ginval ∧ gstore1 = crash(gstore, gstore0, ginval, nx)), dups(nx), n ∈ nx

Rule argument

pos: right 1 terms: EIO abort: F discard: T computed: T

Additional information

Used terms: EIO