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Proof step 21 from proof nodes-remove-refsize0 (previous step)

gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, m ∈ gstore, @(m0, m1) ∈ lax ⊦ nodes(remove-refsize0(gstore), ∅)[@(m, m0, m1)] = (nodes(gstore, ginval) \ refsize0-addresses(gstore \ ginval))[@(m, m0, m1)], m2 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ adr ∈ nodes(gstore, ginval) → nodes(gstore, ginval)[adr] = gstore[adr].nd
Proof step 23:
gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, @(m0, m1) ∈ lax, m ∈ gstore ⊦ nodes(remove-refsize0(gstore), ∅)[@(m, m0, m1)] = (nodes(gstore, ginval) \ refsize0-addresses(gstore \ ginval))[@(m, m0, m1)], m2 = 0, @(m, m0, m1) ∈ nodes(remove-refsize0(gstore), ∅)
Proof step 26:
gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, @(m0, m1) ∈ lax, m ∈ gstore, @(m, m0, m1) ∈ nodes(remove-refsize0(gstore), ∅) ⊦ remove-refsize0(gstore)[@(m, m0, m1)].nd = (nodes(gstore, ginval) \ refsize0-addresses(gstore \ ginval))[@(m, m0, m1)], m2 = 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), ∅, remove-refsize0(gstore)] flags: <all paths>

Additional information

Used terms: @(m, m0, m1), ∅, remove-refsize0(gstore)