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Proof step 9 from proof abs-gstore-idcircle (previous step)

# lpt = # avol1, # avol0 = # avol1, lpt[n0] = mklp(m, m4, LP_GROUP_NODES, m5), gstore[n0] = groupblock(gndx, lax, m), lpt[n] = mklp(m0, m1, lpf, m2), n0 < # avol1, n < # avol1, abs-leb(avol0[n0], groupblock(gndx, lax, m), mklp(m, m4, LP_GROUP_NODES, m5)), id○(avol0, avol1, n), n0 ∈ gstore ⊦ lpf = LP_GROUP_NODES, abs-leb(avol1[n0], groupblock(gndx, lax, m), mklp(m, m4, LP_GROUP_NODES, m5)), n0 ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ abs-leb(aleb, gblock, lp) ↔ aleb.mapped? ∧ abs-nodes(aleb.data, gblock.gndlist, gblock.ladrlist, lp.size = LEB_SIZE) ∧ (lp.size ≠ LEB_SIZE → lp.size = # aleb.data)
Proof step 11:
# avol0 = # avol1, # lpt = # avol1, lpt[n] = mklp(m0, m1, lpf, m2), gstore[n0] = groupblock(gndx, lax, m), lpt[n0] = mklp(m, m4, LP_GROUP_NODES, m5), n < # avol1, n0 < # avol1, abs-leb(avol0[n0], groupblock(gndx, lax, m), mklp(m, m4, LP_GROUP_NODES, m5)), id○(avol0, avol1, n), n0 ∈ gstore ⊦ lpf = LP_GROUP_NODES, n0 ∈ ginval, avol1[n0].mapped? ∧ abs-nodes(avol1[n0].data, groupblock(gndx, lax, m).gndlist, groupblock(gndx, lax, m).ladrlist, mklp(m, m4, LP_GROUP_NODES, m5).size = LEB_SIZE) ∧ (mklp(m, m4, LP_GROUP_NODES, m5).size ≠ LEB_SIZE → mklp(m, m4, LP_GROUP_NODES, m5).size = # avol1[n0].data)

Rule argument

spec: abs-leb, inst: encoding-group-node name: abs-leb-def seq: ⊦ abs-leb(aleb, gblock, lp) ↔ aleb.mapped? ∧ abs-nodes (aleb.data, gblock.gndlist, gblock.ladrlist, lp.size = LEB_SIZE) ∧ (lp.size ≠ LEB_SIZE → lp.size = # aleb.data) subst: [lp, gblock, aleb] → [mklp(m, m4, LP_GROUP_NODES, m5), groupblock(gndx, lax, m), avol1[n0]] flags: <all paths>

Additional information

Used terms: mklp(m, m4, LP_GROUP_NODES, m5), groupblock(gndx, lax, m), avol1[n0]