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Proof step 10 from proof icrash-remove-refsize0-prefix (previous step)

crash(istore, istore0)[n] = indexblock(indx1, lax1, m1), istore0[n] = indexblock(indx, lax, m), remove-refsize0(crash(istore, istore0))[n] = indexblock(indx0, lax0, m0), istore0 = remove-refsize0(istore0), n ∈ istore0, n ∈ istore, dom istore0 ⊆ dom istore, ∀ n. n ∈ istore0 ∧ n ∈ istore → istore0[n].indlist ⊑ istore[n].indlist ∧ istore0[n].ladrlist ⊑ istore[n].ladrlist ∧ # istore0[n].indlist = # istore0[n].ladrlist ∧ # istore[n].indlist = # istore[n].ladrlist ⊦ m1 = 0, indx ⊑ indx0 ∧ lax ⊑ lax0 ∧ # indx = # lax ∧ # indx0 = # lax0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: index-store-ablock-store-nat-store name: Extension seq: ⊦ istore = istore0 ↔ (∀ n. (n ∈ istore ↔ n ∈ istore0) ∧ istore[n] = istore0[n]) subst: [istore0, istore] → [remove-refsize0(istore0), istore0] flags: <all paths>

Additional information

Used terms: remove-refsize0(istore0), istore0