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Proof step 8 from proof nodes-append-subseteq (previous step)

# gndx = # lax, gstore[n] = groupblock(gndx, lax, n0), n ∈ gstore, m ∈ gstore, @(m1, m2) ∈ gstore[m] ↓.ladrlist, n0 ≤ m0 ⊦ m ∈ ginval, @(m, m1, m2) ∈ gstore ↓ [n, groupblock (prefixn((gnd.end ⊃ # lax + 1;valid-group-nodes(gndx)), gndx + gnd '), prefixn((gnd.end ⊃ # lax + 1;valid-group-nodes(gndx)), lax + ladr '), m0) ] ∧ nodes(gstore ↓, ginval)[@(m, m1, m2)] = nodes (gstore ↓ [n, groupblock (prefixn((gnd.end ⊃ # lax + 1;valid-group-nodes(gndx)), gndx + gnd '), prefixn((gnd.end ⊃ # lax + 1;valid-group-nodes(gndx)), lax + ladr '), m0) ], ginval) [@(m, m1, m2) ]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

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] → [gnd, nd, m3, 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: gnd, nd, m3, boolvar, boolvar0