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Proof step 17 from proof instore-afterputs (previous step)

∀ r, st, sk, class, r1. r ∈ st ∧ r -- sk ∈ st ∧ unique_al(fis0) ∧ instore(r, class, fis0, st) → _type = sk ∨ sk ∈ fis0 ∨ _type ∈ fis0 ∨ instore(r, class, fis0, st[r -- sk, refval(r1)]), r ∈ st, r -- sk ∈ st, unique_al(fv + fis0), instore(r, class, fv + fis0, st) ⊦ _type = sk, sk ∈ fv + fis0, _type ∈ fv + fis0, instore(r, class, fv + fis0, st[r -- sk, refval(r1)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
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, instore(r, class, fv ' + fis0, st[r -- sk, refval(r1)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ sk ∈ fis + fis0 ↔ sk ∈ fis ∨ sk ∈ fis0], [CSIMPSEQ : ⊦ fv + fis = fv ' + fis])]]