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Proof step 43 from proof prepost-remove-nonend-blocks (previous step)

# lax = (# gndx0 + 1) + # gndx, prefixn(# gndx0 + 1, lax).to-adr(n) = [], gstore2[n] = groupblock((gndx0 + mkgnode(nd, m1, boolvar, false) ') + gndx, lax, m), valid-group-nodes(gndx0) = valid-group-nodes((gndx0 + mkgnode(nd, m1, boolvar, false) ') + gndx), inv(groupblock((gndx0 + mkgnode(nd, m1, boolvar, false) ') + gndx, lax, m)), inv(gstore2 \ ginval), n ∈ gstore2 ⊦ ax0 + prefixn(# gndx0 + 1, lax).to-adr(n) = [], (ax0 + prefixn(# gndx0 + 1, lax).to-adr(n)).butlast = ax0 + prefixn(# gndx0, lax).to-adr(n), n ∈ ginval

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
# lax = (# gndx0 + 1) + # gndx, gstore2[n] = groupblock((gndx0 + mkgnode(nd, m1, boolvar, false) ') + gndx, lax, m), prefixn(# gndx0 + 1, lax) = [], valid-group-nodes(gndx0) = valid-group-nodes((gndx0 + mkgnode(nd, m1, boolvar, false) ') + gndx), inv(groupblock((gndx0 + mkgnode(nd, m1, boolvar, false) ') + gndx, lax, m)), inv(gstore2 \ ginval), n ∈ gstore2 ⊦ ax0.butlast = ax0 + prefixn(# gndx0, lax).to-adr(n), ax0 = [], n ∈ ginval

Rule argument

Additional information

Used simplifier rules: a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]% ⊦ ax + [] = ax; (s)% ⊦ ([]).to-adr(n) = []; (s)% ⊦ lax.to-adr(n) = [] ↔ lax = []; (s)