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Proof step 40 from proof contains-append (conclusion)

⊦ contains(str, tys + ty ' + tys0) ↔ contains(str, tys + ty ') ∧ contains(str, ty ' + tys0)

User applied rule structural induction

And obtained the following new goals

Proof step 5:
⊦ contains(str, [] + ty ' + tys0) ↔ contains(str, [] + ty ') ∧ contains(str, ty ' + tys0)
Proof step 39:
∀ str, ty, tys0. contains(str, tys1 + ty ' + tys0) ↔ contains(str, tys1 + ty ') ∧ contains(str, ty ' + tys0) ⊦ contains(str, (ty0 + tys1) + ty ' + tys0) ↔ contains(str, (ty0 + tys1) + ty ') ∧ contains(str, ty ' + tys0)

Rule argument

[VARWITHVARSEQSARG : tys, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : javatypes generated by [], +;])]]