[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 10 from proof refine-set-gblock-refsize (previous step)

gstore = gstore3, remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore3 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(istore1), inv(istore2), inv(gstore2), inv(gstore3 \ ginval0), ri-inj(fi0), ri-inj(fi), maxino2 ∈ gstore3, istore1 ⊑ istore2, ¬ dups(nx0), pstate = unbuffered → syn0, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore3 ⊦ ⟨index_set_gblock_refsize#(maxino2, n, fi, fi0, ginval0, gstore2, nx0, maxino1, ginval2, syn0; gstore3)⟩ (gstore3 = gstore[maxino2, gstore[maxino2].ref-size:= n])

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 11:
syn ↔ syn0, fi = fi1, fi0 = fi2, ginval = ginval2, gstore = gstore3, gstore0 = gstore2, gstore1 = gstore3, maxino = maxino1, maxino0 = maxino2, nx = nx0, remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore3 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi2, fi1), inv(gstore3 \ ginval0), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi2), ri-inj(fi1), maxino2 ∈ gstore3, istore1 ⊑ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore3, pstate.index? → pstate.lnum ∈ istore2, pstate = unbuffered → syn0 ⊦ ⟨if maxino0 ∈ gstore then gstore[maxino0].ref-size := n else abort⟩ (gstore = gstore1[maxino2, gstore1[maxino2].ref-size:= n]), dups(nx0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_set_gblock_refsize# (LNUM, N, PRI, PFI, PINVAL, PSTORE0, PNL, PMAXINO, P_OS, ISYNCED ; PSTORE ) {if LNUM ∈ PSTORE then PSTORE[LNUM].ref-size := N else abort};