[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 refsize-cons-crash (previous step)

dom gstore0 ∪ elems nx = dom gstore ∪ ginval, refsize-cons(gstore0, range fi), fi.lebs ⊆ dom gstore0 ⊦ refsize-cons(crash(gstore, gstore0, ginval, nx), range fi)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ refsize-cons(gstore, as) ↔ (∀ n. n ∈ gstore → gstore[n].ref-size = (as | n).size)
Proof step 5:
dom gstore0 ∪ elems nx = dom gstore ∪ ginval, refsize-cons(gstore0, range fi), fi.lebs ⊆ dom gstore0 ⊦ ∀ n. n ∈ crash(gstore, gstore0, ginval, nx) → crash(gstore, gstore0, ginval, nx)[n].ref-size = (range fi | n).size

Rule argument

spec: ablock-store-refsize-cons, inst: group-store name: refsize-cons-def seq: ⊦ refsize-cons(gstore, as) ↔ (∀ n. n ∈ gstore → gstore[n].ref-size = (as | n).size) subst: [as, gstore] → [range fi, crash(gstore, gstore0, ginval, nx)] flags: <all paths>

Additional information

Used terms: range fi, crash(gstore, gstore0, ginval, nx)