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Proof step 25 from proof crash-neutral-add-gnds (previous step)

gstore[nx.last] = groupblock(gndx0, lax0, m), remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval1 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval1, inv(groupblock(gndx0, lax0, m)), inv(gstore0), inv(gstore \ ginval1), ri-inj(fi1), ri-inj(fi2), nx.last ∈ gstore[nx.last, gstore[nx.last].gndlist:= gndx0], nx.last ∈ gstore ⊦ ∃ ax. ⟨syn := ?⟩ ( syn ∧ crash(gstore, gstore0, ginval1, nx) = crash (gstore[nx.last, gstore[nx.last].gndlist:= gndx0] [nx.last, gstore[nx.last, gstore[nx.last].gndlist:= gndx0][nx.last].ladrlist:= gstore[nx.last, gstore[nx.last].gndlist:= gndx0][nx.last].ladrlist ], gstore0, ginval1, nx)), gndx = [], nx = [], dups(nx)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
gstore[nx.last] = groupblock(gndx0, lax0, m), remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval1 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval1, gndx ≠ [], nx ≠ [], inv(gstore \ ginval1), inv(gstore0), inv(groupblock(gndx0, lax0, m)), ri-inj(fi2), ri-inj(fi1), nx.last ∈ gstore, ¬ dups(nx) ⊦ ⟨syn := ?⟩ ( syn ∧ crash(gstore, gstore0, ginval1, nx) = crash(gstore[nx.last, (gstore[nx.last].gndlist:= gndx0).ladrlist:= gstore[nx.last].ladrlist], gstore0, ginval1, nx))

Rule argument

Additional information

Used simplifier rules: ⊦ gstore[n, gblock][n, gblock0] = gstore[n, gblock0]; (s)% ⊦ (gblock.gndlist:= gndx).ladrlist = gblock.ladrlist; (s)% ⊦ gstore[n, gblock][n] = gblock; (s)% ⊦ n ∈ gstore[n, gblock]; (s)