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Proof step 48 from proof prepost-remove-nonend-blocks (previous step)

# lax = (# gndx0 + 1) + # gndx, 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)).butlast = ax0 + prefixn(# gndx0, lax).to-adr(n), ax0 + prefixn(# gndx0 + 1, lax).to-adr(n) = [], prefixn(# gndx0 + 1, lax).to-adr(n) = [], n ∈ ginval

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
# lax = (# gndx0 + 1) + # gndx, 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(gstore2 \ ginval), inv(groupblock((gndx0 + mkgnode(nd, m1, boolvar, false) ') + gndx, lax, m)), n ∈ gstore2 ⊦ ax0 + prefixn(# gndx0 + 1, lax).to-adr(n) = [], (prefixn(# gndx0 + 1, lax).to-adr(n)).butlast = prefixn(# gndx0, lax).to-adr(n), lax = [], n ∈ ginval

Rule argument

Additional information

Used simplifier rules: a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]% ⊦ ax + ax0 = ax + ax1 ↔ ax0 = ax1; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ prefixn(n + 1, lax) = [] ↔ lax = []; (ss)% ⊦ lax.to-adr(n) = [] ↔ lax = []; (s)