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Proof step 49 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(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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ablock-store-inv, inst: index-store name: prefixn-to-adrs seq: ⊦ prefixn(n, lax.to-adr(m)) = prefixn(n, lax).to-adr(m) subst: [m, lax, n] → [n, lax, # gndx0 + 1] flags: <rotated> <all paths>

Additional information

Used terms: n, lax, # gndx0 + 1