[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 3 from proof crash-neutral-get-gblock-refsize (previous step)

remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), maxino ∈ gstore, istore0 ⊑ istore, ¬ dups(nx), pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore ⊦ ⟨apersistence_get_gblock_refsize#(maxino, adr0, istore, istore0, ginval, gstore, gstore0, nx, maxino1, ginval2, pstate, true; ; n)⟩ true

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 4:
syn ↔ true, adr = adr0, ginval = ginval2, ginval0 = ginval1, gstore = gstore1, gstore0 = gstore2, istore = istore1, istore0 = istore2, maxino = maxino1, maxino0 = maxino2, remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval1 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval1, inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval1), maxino2 ∈ gstore2, istore1 ⊑ istore2, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2 ⊦ ⟨if maxino0 ∈ gstore0 then n := gstore0[maxino0].ref-size else abort⟩ true, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: get-gblock-refsize: ⊦ ;