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Proof step 5 from proof val-inj-01 (conclusion)

⊦ val2vals(vals2val(vals)) = vals

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ vals2val([]) = noval
Proof step 2:
⊦ val2vals(noval) = []
Proof step 3:
⊦ vals2val(val ' + vals) = val ++ vals2val(vals)
Proof step 4:
⊦ val2vals(val ++ val0) = val + val2vals(val0)

Rule argument

[VARWITHVARSEQSARG : vals, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : javavalues generated by [], +;], [CSIMPSEQ : ⊦ val + vals = val ' + vals], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ vals + vals0 = vals + vals1 ↔ vals0 = vals1])]]