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Proof step 1 from proof size-rec-rem (conclusion)

⊦ (as ++ adr).size = (as -- adr).size + adr.size

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ (as ++ adr).size = (as.size - (adr ∈ as ⊃ adr.size;0)) + adr.size

Rule argument

Additional information

Used simplifier rules: size-rem: ⊦ (as -- adr).size = as.size - (adr ∈ as ⊃ adr.size;0);