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Proof step 3 from proof size-consp (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 4:
⊦ str + ∅ = ∅
Proof step 5:
∀ ps0, str. # ps0 < # ps → true → #(str + ps0) = # ps0 ⊦ #(str + ps) = # ps, ps = ∅

Rule argument

fma: ps = ∅

Additional information

Used simplifier rules: empty-consp: ⊦ str + ∅ = ∅;% ⊦ # ∅ = 0; (s) Used formulas: ps = ∅