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Proof step 3 from proof crash-neutral-truncate (previous step)

remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval), inv(gstore0), ri-inj(fi), ri-inj(fi0), ¬ dups(nx) ⊦ ⟨index_index_truncate#(key, n, fi0, ginval, gstore, gstore0, nx, maxino0, ginval2, true; as, fi)⟩ true

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 4:
syn ↔ 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(gstore1), inv(gstore2 \ ginval1), ri-inj(fi0), ri-inj(fi) ⊦ ⟨let ks = datakeys(key, n, fi) in fi := fi \ ks, as := fi[ks]⟩ true, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: truncate: ⊦ ;