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Proof step 15 from proof abs-gstore-set-refsize (previous step)

gstore[n] = groupblock(gndx1, lax1, m4), lpt[n] = mklp(m4, m6, LP_GROUP_NODES, m7), n < # lpt, abs-leb(avol[n], groupblock(gndx1, lax1, m4), mklp(m4, m6, LP_GROUP_NODES, m7)), n ∈ gstore ⊦ abs-leb(avol[n], groupblock(gndx1, lax1, m), mklp(m, m6, LP_GROUP_NODES, m3)), n ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ 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 17:
lpt[n] = mklp(m4, m6, LP_GROUP_NODES, m7), gstore[n] = groupblock(gndx1, lax1, m4), n < # lpt, abs-leb(avol[n], groupblock(gndx1, lax1, m4), mklp(m4, m6, LP_GROUP_NODES, m7)), n ∈ gstore ⊦ n ∈ ginval, avol[n].mapped? ∧ abs-nodes(avol[n].data, groupblock(gndx1, lax1, m).gndlist, groupblock(gndx1, lax1, m).ladrlist, mklp(m, m6, LP_GROUP_NODES, m3).size = LEB_SIZE) ∧ (mklp(m, m6, LP_GROUP_NODES, m3).size ≠ LEB_SIZE → mklp(m, m6, LP_GROUP_NODES, m3).size = # avol[n].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, m6, LP_GROUP_NODES, m3), groupblock(gndx1, lax1, m), avol[n]] flags: <all paths>

Additional information

Used terms: mklp(m, m6, LP_GROUP_NODES, m3), groupblock(gndx1, lax1, m), avol[n]