[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 12 from proof crash-neutral-set-gblock-refsize (previous step)

remove-refsize0(istore1) = istore1, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval1 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval1, inv(istore1), inv(istore2), inv(gstore0), inv(gstore \ ginval1), maxino2 ∈ gstore, n0 ∈ crash(gstore, gstore0, ginval1, nx), n0 ∈ crash(gstore[maxino2, gstore[maxino2].ref-size:= n], gstore0, ginval1, nx), istore1 ⊑ istore2, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore ⊦ (n0 ∈ nx ∨ ¬ n0 ∈ ginval1 ⊃ groupblock(gstore[n0].gndlist, gstore[n0].ladrlist, (n0 ∈ gstore0 ⊃ gstore0[n0].ref-size;0));gstore0[n0]) = (n0 ∈ nx ∨ ¬ n0 ∈ ginval1 ⊃ groupblock (gstore[maxino2, gstore[maxino2].ref-size:= n][n0].gndlist, gstore[maxino2, gstore[maxino2].ref-size:= n][n0].ladrlist, (n0 ∈ gstore0 ⊃ gstore0[n0].ref-size;0)) ;gstore0[n0] ), dups(nx)

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: n0 = maxino2

Additional information

Used simplifier rules: ⊦ n ≠ n0 → gstore[n0, gblock][n] = gstore[n]; (s)% ⊦ gstore[n, gblock][n] = gblock; (s)% ⊦ (gblock.ref-size:= m).gndlist = gblock.gndlist; (s)% ⊦ (gblock.ref-size:= m).ladrlist = gblock.ladrlist; (s) Used formulas: n0 = maxino2