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Proof step 5 from proof size-consp (previous step)

∀ ps0, str. # ps0 < # ps → true → #(str + ps0) = # ps0 ⊦ #(str + ps) = # ps, ps = ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
∀ ps0, str. # ps0 < # ps → true → #(str + ps0) = # ps0 ⊦ # ps = 0, #(str + ps) = # ps, ps = ∅

Rule argument

Additional information

Used simplifier rules: size-zero: ⊦ # ps ≠ 0 → ps ≠ ∅; (forward) from specification set-basic[pathset]%size-zero-01: ⊦ ps ≠ ∅ → # ps ≠ 0; (forward) from specification set-basic[pathset]