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Proof step 4 from proof inv-add-gnds (previous step)

remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), istore0 ⊑ istore, pstate = unbuffered → syn, pstate.index? → pstate.lnum ∈ istore, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore, pstate.journal? ∨ pstate = readonly ⊦ ⟪apersistence_add_gnds#(gndx, adr, istore, istore0, ginval, gstore0, nx, maxino, ginval0; ax, gstore, pstate, syn; err)⟫ ( inv(gstore \ ginval) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ ginval ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn)), pstate.journal?, dups(nx)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
pstate = readonly, remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), istore0 ⊑ istore, ¬ dups(nx) ⊦ ⟪apersistence_add_gnds#(gndx, adr, istore, istore0, ginval, gstore0, nx, maxino, ginval0; ax, gstore, pstate, syn; err)⟫ ( inv(gstore \ ginval) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ ginval ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn))

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ readonly.index?; (s)% ⊦ unbuffered ≠ readonly; (s)% ⊦ ¬ readonly.journal?; (s)