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Proof step 2 from proof injectivity-01 (previous step)

encode(m) = encode(n) ⊦ m = n

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ decode(encode(n)) = n
Proof step 4:
decode(encode(m)) = m, encode(m) = encode(n) ⊦ m = n

Rule argument

spec: int-pair inst: name: dec-nat seq: ⊦ decode(encode(n)) = n subst: [n] → [m] flags: current, []

Additional information

Used terms: m