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Proof step 44 from proof nodes-remove-refsize0 (previous step)

gndx0[pos(@(m0, m1), lax0)] = mkgnode(nd, m3, boolvar, boolvar0), gstore[m] = groupblock(gndx, lax, m2), gstore[@(m, m0, m1)] = mkgnode(nd0, m4, boolvar1, boolvar2), remove-refsize0(gstore)[m] = groupblock(gndx0, lax0, m5), dom remove-refsize0(gstore) ∩ ginval = ∅, @(m, m0, m1) ∈ gstore, m ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ remove-refsize0(gstore) ⊦ m2 = 0, nd = nd0, m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 45:
⊦ n ∈ gstore ∧ gstore[n].ref-size ≠ 0 → remove-refsize0(gstore)[n] = gstore[n]
Proof step 46:
gstore[m] = groupblock(gndx0, lax0, m5), gstore[@(m, m0, m1)] = mkgnode(nd0, m4, boolvar1, boolvar2), gstore[m] = groupblock(gndx, lax, m2), gndx0[pos(@(m0, m1), lax0)] = mkgnode(nd, m3, boolvar, boolvar0), dom remove-refsize0(gstore) ∩ ginval = ∅, @(m, m0, m1) ∈ remove-refsize0(gstore), @(m0, m1) ∈ lax, @(m, m0, m1) ∈ gstore, m ∈ gstore ⊦ gstore[m].ref-size = 0, m2 = 0, nd = nd0, m ∈ ginval

Rule argument

spec: ablock-store-inv, inst: group-store name: at-remove-refsize0 seq: ⊦ n ∈ gstore ∧ gstore[n].ref-size ≠ 0 → remove-refsize0(gstore)[n] = gstore[n] subst: [n, gstore] → [m, gstore] flags: <all paths>

Additional information

Used simplifier rules: ⊦ groupblock(gndx, lax, m).ref-size = m; (s) Used terms: m, gstore