[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 21 from proof inv-add-ind (previous step)

istore[m] = indexblock(indx, lax, m0), remove-refsize0(istore0) = istore0, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, inv(istore0), inv(istore), inv(gstore1), inv(gstore2 \ ginval2), m ∈ istore, istore0 ⊑ istore ⊦ dups(nx), @(m, maxino, ind.flashsize) ∈ istore0, @(m, maxino, ind.flashsize) ∈ istore, inv(istore[m, (istore[m].indlist:= (indx + ind ')).ladrlist:= (lax + @(maxino, ind.flashsize) ')]) ∧ istore0 ⊑ istore[m, (istore[m].indlist:= (indx + ind ')).ladrlist:= (lax + @(maxino, ind.flashsize) ')]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
istore[m] = indexblock(indx, lax, m0), remove-refsize0(istore0) = istore0, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, inv(indexblock(indx, lax, m0)), inv(istore0), inv(istore), inv(gstore1), inv(gstore2 \ ginval2), m ∈ istore, istore0 ⊑ istore ⊦ dups(nx), @(m, maxino, ind.flashsize) ∈ istore0, @(m, maxino, ind.flashsize) ∈ istore, inv(istore[m, indexblock(indx + ind ', lax + @(maxino, ind.flashsize) ', m0)]) ∧ istore0 ⊑ istore[m, indexblock(indx + ind ', lax + @(maxino, ind.flashsize) ', m0)]

Rule argument

Additional information

Used simplifier rules: ⊦ indexblock(indx, lax, m).ladrlist:= lax0 = indexblock(indx, lax0, m); (s)%⊦ indexblock(indx, lax, m).indlist:= indx0 = indexblock(indx0, lax, m); (s)%fwd-inv-iblock: ⊦ inv(istore) ∧ n ∈ istore ∧ istore[n] = iblock → inv(iblock); (forward) from specification apersistence-base