[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 37 from proof refine-read-gblock (previous step)

remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi2, fi1), inv(istore1), inv(istore2), inv(gstore2), inv(gstore0 \ ginval0), ri-inj(fi1), ri-inj(fi2), maxino2 ∈ gstore0, istore1 ⊑ istore2, ⌊err0⌋ , ¬ dups(nx0), ¬ maxino2 ∈ ginval0, pstate = unbuffered → syn0, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0 ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then ax := ax + gstore0[maxino2].ladrlist.to-adr(maxino2), gndx := gndx + gstore0[maxino2].gndlist else ax := ?, gndx := ?⟩ (ax1 = ax ∧ gndx1 = gndx ∧ err0 = err)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 38:
remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi2, fi1), inv(gstore0 \ ginval0), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi2), ri-inj(fi1), maxino2 ∈ gstore0, istore1 ⊑ istore2, ⌊err0⌋ , pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0, pstate.index? → pstate.lnum ∈ istore2, pstate = unbuffered → syn0 ⊦ ⟨choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; if err = ESUCCESS then ax := ax + gstore0[maxino2].ladrlist.to-adr(maxino2), gndx := gndx + gstore0[maxino2].gndlist else ax := ?, gndx := ?⟩ (ax1 = ax ∧ gndx1 = gndx ∧ err0 = err), dups(nx0), maxino2 ∈ ginval0

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail_or_success#(; ; ERR) {choose ERR0 with ⌊ERR0⌋ ∨ ERR0 = ESUCCESS in ERR := ERR0};