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Proof step 9 from proof to-ards-no-dups (previous step)

dups(lax0.to-adr(n)), ∀ n0. ¬ dups(lax0.to-adr(n0)) ⊦ dups(lax0), @(m, m0) ∈ lax0, @(n, m, m0) ∈ lax0.to-adr(n)

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 10:
dups(lax0.to-adr(n)), ∀ n0. ¬ dups(lax0.to-adr(n0)) ⊦ dups(lax0), @(m, m0) ∈ lax0, @(n, m, m0) ∈ lax0.to-adr(n)

Rule argument

fma: @(n, m, m0) ∈ lax0.to-adr(n)

Additional information

Used formulas: @(n, m, m0) ∈ lax0.to-adr(n)