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Proof step 31 from proof nodes-remove-refsize0 (previous step)

gstore[m] = groupblock(gndx, lax, m2), remove-refsize0(gstore)[@(m, m0, m1)] = mkgnode(nd, m3, boolvar, boolvar0), dom remove-refsize0(gstore) ∩ ginval = ∅, @(m, m0, m1) ∈ remove-refsize0(gstore), @(m0, m1) ∈ lax, m ∈ gstore ⊦ m2 = 0, nd = nodes(gstore, ginval)[@(m, m0, m1)], @(m, m0, m1) ∈ gstore \ ginval ∧ (gstore \ ginval)[m].ref-size = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 32:
⊦ adr ∈ nodes(gstore, ginval) → nodes(gstore, ginval)[adr] = gstore[adr].nd
Proof step 33:
remove-refsize0(gstore)[@(m, m0, m1)] = mkgnode(nd, m3, boolvar, boolvar0), gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, m ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ remove-refsize0(gstore) ⊦ m2 = 0, nd = nodes(gstore, ginval)[@(m, m0, m1)], @(m, m0, m1) ∈ nodes(gstore, ginval), @(m, m0, m1) ∈ gstore \ ginval ∧ (gstore \ ginval)[m].ref-size = 0
Proof step 38:
remove-refsize0(gstore)[@(m, m0, m1)] = mkgnode(nd, m3, boolvar, boolvar0), gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, m ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ remove-refsize0(gstore), @(m, m0, m1) ∈ nodes(gstore, ginval) ⊦ m2 = 0, nd = gstore[@(m, m0, m1)].nd, @(m, m0, m1) ∈ gstore \ ginval ∧ (gstore \ ginval)[m].ref-size = 0

Rule argument

spec: <toplevel> name: nodes-gstore-at seq: ⊦ adr ∈ nodes(gstore, ginval) → nodes(gstore, ginval)[adr] = gstore[adr].nd subst: [adr, ginval, gstore] → [@(m, m0, m1), ginval, gstore] flags: <all paths>

Additional information

Used terms: @(m, m0, m1), ginval, gstore