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Proof step 11 from proof crash-neutral-read-gnd (previous step)

remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval1 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval1, inv(gstore2 \ ginval1), inv(gstore1), ri-inj(fi2), ri-inj(fi1), @(m, m0, m1) ∈ gstore2, ¬ dups(nx), ¬ m ∈ ginval1 ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; if err = ESUCCESS then gnd := gstore2[@(m, m0, m1)] else gnd := ?⟩ true

User applied rule exists right

And obtained the following new goals

Proof step 12:
remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval1 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval1, inv(gstore1), inv(gstore2 \ ginval1), ri-inj(fi1), ri-inj(fi2), @(m, m0, m1) ∈ gstore2 ⊦ (⌊EIO⌋ ∨ EIO = ESUCCESS) ∧ ⟨err := EIO; if err = ESUCCESS then gnd := gstore2[@(m, m0, m1)] else gnd := ?⟩ true, dups(nx), m ∈ ginval1

Rule argument

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

Additional information

Used terms: EIO