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Proof step 15 from proof instore-afterputs (previous step)

r ∈ st, r -- sk ∈ st, unique_al(fv ' + fis0), instore(r, class, fv ' + fis0, st), ∀ r0, st0, sk0, class0, r2. r0 ∈ st0 ∧ r0 -- sk0 ∈ st0 ∧ unique_al(fis0) ∧ instore(r0, class0, fis0, st0) → _type = sk0 ∨ sk0 ∈ fis0 ∨ instore(r0, class0, fis0, st0[r0 -- sk0, refval(r2)]) ⊦ _type = sk, sk ∈ fv ', sk ∈ fis0, _type ∈ fv ', _type ∈ fis0, (r -- fv .1) × fv .2 ∈ st[r -- sk, refval(r1)] ∧ instore(r, class, fis0, st[r -- sk, refval(r1)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
r ∈ st, r -- sk ∈ st, unique_al(fv ' + fis0), instore(r, class, fv ' + fis0, st), ∀ r0, st0, sk0, class0, r2. r0 ∈ st0 ∧ r0 -- sk0 ∈ st0 ∧ unique_al(fis0) ∧ instore(r0, class0, fis0, st0) → _type = sk0 ∨ sk0 ∈ fis0 ∨ instore(r0, class0, fis0, st0[r0 -- sk0, refval(r2)]) ⊦ _type = sk, sk ∈ fv ', sk ∈ fis0, _type ∈ fv ', _type ∈ fis0, r -- fv .1 ∈ st ∧ (st[r -- sk, refval(r1)][r -- fv .1]) = fv .2 ∧ instore(r, class, fis0, st[r -- sk, refval(r1)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ ¬ ¬ (rk ∈ st ∧ st[rk] = val)])]]