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Proof step 7 from proof abs-log-write-nochange (previous step)

gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore, ∀ gstore, n, gndx, lax, m0, m. gstore[n] = groupblock(gndx, lax, m0) ∧ n ∈ gstore → abs-log(nx0, gstore[n, groupblock(gndx, lax, m)]) = abs-log(nx0, gstore) ⊦ abs-log(lnum + nx0, gstore[n, groupblock(gndx, lax, m)]) = abs-log(lnum + nx0, gstore)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore, ∀ gstore, n, gndx, lax, m0, m. gstore[n] = groupblock(gndx, lax, m0) ∧ n ∈ gstore → abs-log(nx0, gstore[n, groupblock(gndx, lax, m)]) = abs-log(nx0, gstore) ⊦ gstore[n, groupblock(gndx, lax, m)][lnum].ladrlist.to-adr(lnum) + abs-log(nx0, gstore[n, groupblock(gndx, lax, m)]) = gstore[lnum].ladrlist.to-adr(lnum) + abs-log(nx0, gstore)

Rule argument

Additional information

Used simplifier rules: abs-log-rec: ⊦ abs-log(n ' + nx, gstore) = gstore[n].ladrlist.to-adr(n) + abs-log(nx, gstore);%a: ⊦ (nx + nx0) + nx1 = nx + nx0 + nx1; from specification list[nat-list-set]% ⊦ n + nx = n ' + nx; (s)