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Proof step 5 from proof inv-read-gnd (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), @(m, m0, m1) ∈ gstore, ¬ dups(nx), ¬ m ∈ ginval ⊦ ⟪index_read_gnd#(@(m, m0, m1), fi, fi0, ginval, gstore, gstore0, nx, maxino, ginval0, syn; gnd; err)⟫ true

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 6:
adr = @(m, m0, m1), fi = fi1, fi0 = fi2, ginval = ginval1, ginval0 = ginval2, gstore = gstore1, gstore0 = gstore2, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, inv(gstore1), inv(gstore2 \ ginval2), ri-inj(fi1), ri-inj(fi2), @(m, m0, m1) ∈ gstore2 ⊦ ⟪if adr ∈ gstore0 ∧ ¬ adr.lnum ∈ ginval0 then {fail_or_success#(; ; err); if err = ESUCCESS then gnd := gstore0[adr] else gnd := ?} else abort⟫ true, dups(nx), m ∈ ginval2

Rule argument

pos: right 1

Additional information

Used simplifier rules: read-gnd: ⊦ ;