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View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 8 from proof prefix-rem-alloc (previous step)

(st0 \ (ns ++ n))[n0] = mkblock(x, lax, m), (st[n, ablock] \ (ns -- n))[n0] = mkblock(x0, lax0, m0), dom st0 \ ns ⊆ dom st \ ns, ∀ n. n ∈ st0 \ ns ∧ n ∈ st \ ns → (st0 \ ns)[n].list ⊑ (st \ ns)[n].list ∧ (st0 \ ns)[n].ladrlist ⊑ (st \ ns)[n].ladrlist ∧ # (st0 \ ns)[n].list = # (st0 \ ns)[n].ladrlist ∧ # (st \ ns)[n].list = # (st \ ns)[n].ladrlist ⊦ n ∈ st, (dom st0 \ ns) -- n ⊆ (dom st ++ n) \ (ns -- n) ∧ (n0 ∈ st0 \ (ns ++ n) ∧ n0 ∈ st[n, ablock] \ (ns -- n) → x ⊑ x0 ∧ lax ⊑ lax0 ∧ # x = # lax ∧ # x0 = # lax0)

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 2

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