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Proof step 56 from proof prepost-remove-nonend-blocks (previous step)

# lax = # gndx1 + # gndx, gstore2[n] = groupblock(gndx1 + gndx, lax, m), prefixn(# gndx1, lax) = [], valid-group-nodes(gndx1) = valid-group-nodes(gndx1 + gndx), inv(gstore2 \ ginval), inv(groupblock(gndx1 + gndx, lax, m)), n ∈ gstore2 ⊦ gndx1 = [], gndx1.last.end, n ∈ ginval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 57:
# lax = # gndx1 + # gndx, gndx1.last = mkgnode(nd, m0, boolvar, boolvar0), gstore2[n] = groupblock(gndx1 + gndx, lax, m), ¬ boolvar0, prefixn(# gndx1, lax) = [], valid-group-nodes(gndx1) = valid-group-nodes(gndx1 + gndx), inv(groupblock(gndx1 + gndx, lax, m)), inv(gstore2 \ ginval), n ∈ gstore2 ⊦ gndx1 = [], n ∈ ginval

Rule argument

spec: groupnode name: elim seq: ⊦ ((nd = gnd.nd ∧ m = gnd.sqnum) ∧ (boolvar ↔ gnd.start)) ∧ (boolvar0 ↔ gnd.end) ↔ gnd = mkgnode(nd, m, boolvar, boolvar0) subst: [gnd, nd, m, boolvar, boolvar0] → [gndx1.last, nd, m0, boolvar, boolvar0]

Additional information

Used simplifier rules: ⊦ ((nd = gnd.nd ∧ m = gnd.sqnum) ∧ (boolvar ↔ gnd.start)) ∧ (boolvar0 ↔ gnd.end) ↔ gnd = mkgnode(nd, m, boolvar, boolvar0); (elim) Used terms: gndx1.last, nd, m0, boolvar, boolvar0