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Proof step 11 from proof inst-single (previous step)

instore(r, class, (sk × val) ' + [], st) ↔ (r -- sk) × val ∈ st ∧ instore(r, class, [], st) ⊦ instore(r, class, (sk × val) + [], st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class)) ∧ r -- sk ∈ st ∧ st[r -- sk] = val

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
instore(r, class, (sk × val) ', st) ↔ r -- sk ∈ st ∧ st[r -- sk] = val ∧ instore(r, class, [], st) ⊦ instore(r, class, (sk × val) ', st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class)) ∧ r -- sk ∈ st ∧ st[r -- sk] = val

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ fv + fis = fv ' + fis], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ fis + [] = fis])]]