[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 crash-gstore-inv (previous step)

dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore0), inv(gstore[n]), n ∈ gstore ⊦ inv(crash(gstore, gstore0, ginval, nx)[n]), n ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ inv(gblock) ↔ # gblock.gndlist = # gblock.ladrlist ∧ inv-flashsize(gblock.gndlist, gblock.ladrlist) ∧ ¬ dups(gblock.ladrlist)
Proof step 12:
dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore[n]), inv(gstore0), n ∈ gstore ⊦ n ∈ ginval, # crash(gstore, gstore0, ginval, nx)[n].gndlist = # crash(gstore, gstore0, ginval, nx)[n].ladrlist ∧ inv-flashsize(crash(gstore, gstore0, ginval, nx)[n].gndlist, crash(gstore, gstore0, ginval, nx)[n].ladrlist) ∧ ¬ dups(crash(gstore, gstore0, ginval, nx)[n].ladrlist)

Rule argument

spec: ablock-store-inv, inst: group-store name: inv-block seq: ⊦ inv(gblock) ↔ # gblock.gndlist = # gblock.ladrlist ∧ inv-flashsize(gblock.gndlist, gblock.ladrlist) ∧ ¬ dups(gblock.ladrlist) subst: [gblock] → [crash(gstore, gstore0, ginval, nx)[n]] flags: <all paths>

Additional information

Used terms: crash(gstore, gstore0, ginval, nx)[n]