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Proof step 4 from proof crash-neutral-remove (previous step)

syn0 ↔ true, syn ↔ syn1, ginval = ginval2, ginval0 = ginval1, gstore = gstore1, gstore0 = gstore2, maxino = maxino0, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval1 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval1, inv(gstore1), inv(gstore2 \ ginval1), ri-inj(fi0), ri-inj(fi) ⊦ ⟨syn := key ∈ fi; if syn then {adr := fi[key]; fi := fi -- key} else adr := ?⟩ true, dups(nx)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 5:
syn ↔ syn1, syn0 ↔ true, ginval = ginval2, ginval0 = ginval1, gstore = gstore1, gstore0 = gstore2, maxino = maxino0, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval1 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval1, inv(gstore2 \ ginval1), inv(gstore1), ri-inj(fi), ri-inj(fi0) ⊦ ⟨if key ∈ fi then {adr := fi[key]; fi := fi -- key} else adr := ?⟩ true, dups(nx)

Proof step 4 from proof crash-neutral-remove (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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