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Proof step 9 from proof abs-gstore-set-lebsize (previous step)

n3 < # lpt ∧ lpt[n3].flags = LP_GROUP_NODES ↔ n3 ∈ gstore, lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2), gstore[n3] = groupblock(gndx, lax, m), lpt[n, mklp(n0, LEB_SIZE, LP_GROUP_NODES, n2)][n3] = mklp(m0, m1, lpf, m2), n < # avol, n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m), lpt[n3]), n3 ∈ gstore → lpt[n3].ref-size = m ⊦ (n3 < # lpt ∧ lpf = LP_GROUP_NODES ↔ n3 ∈ gstore) ∧ (n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∧ (n3 ∈ gstore → m0 = m)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
n3 < # lpt ∧ lpf0 = LP_GROUP_NODES ↔ n3 ∈ gstore, lpt[n, mklp(n0, LEB_SIZE, LP_GROUP_NODES, n2)][n3] = mklp(m0, m1, lpf, m2), gstore[n3] = groupblock(gndx, lax, m), lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2), lpt[n3] = mklp(m3, m4, lpf0, m5), n < # avol, n3 ∈ gstore → m3 = m, n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m), lpt[n3]) ⊦ (n3 < # lpt ∧ lpf = LP_GROUP_NODES ↔ n3 ∈ gstore) ∧ (n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∧ (n3 ∈ gstore → m0 = m)

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt[n3], m3, m4, lpf0, m5]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt[n3], m3, m4, lpf0, m5