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Proof step 3 from proof sel-fst (previous step)

⊦ encode(encode(encode(i), encode(j))).1 = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ i.1 = decode(decode(i).1)
Proof step 5:
⊦ decode(decode(encode(encode(encode(i), encode(j)))).1) = i

Rule argument

spec: <toplevel> name: dec-fst seq: ⊦ i.1 = decode(decode(i).1) subst: [i] → [encode(encode(encode(i), encode(j)))] flags: <all paths>

Additional information

Used terms: encode(encode(encode(i), encode(j)))