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Proof step 37 from proof instore-afterputs (previous step)

instore(r, class, (sk × val) ' + fis, st), unique_al(fis) ⊦ instore(r, class, (sk × refval(r1)) ', st[r -- sk, refval(r1)]), _type = sk, _type ∈ fis, sk ∈ fis

User applied rule structural induction

And obtained the following new goals

Proof step 26:
instore(r, class, (sk × val) ' + [], st), unique_al([]) ⊦ instore(r, class, (sk × refval(r1)) ', st[r -- sk, refval(r1)]), _type = sk, _type ∈ [], sk ∈ []
Proof step 36:
∀ r, class, sk, val, st, r1. instore(r, class, (sk × val) ' + fis0, st) ∧ unique_al(fis0) → instore(r, class, (sk × refval(r1)) ', st[r -- sk, refval(r1)]) ∨ _type = sk ∨ _type ∈ fis0 ∨ sk ∈ fis0, instore(r, class, (sk × val) ' + (fv + fis0), st), unique_al(fv + fis0) ⊦ instore(r, class, (sk × refval(r1)) ', st[r -- sk, refval(r1)]), _type = sk, _type ∈ fv + fis0, sk ∈ fv + fis0

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

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