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Proof step 18 from proof init-put-06 (previous step)

rk = r0 -- sk, r0 = jvmref, sk .fs .type = void_type, sk .fs .field = `initstate' .field, is_fskey(sk), rk ∈ st, ∀ rk. rk ∈ st ∧ rk .ref = jvmref ∧ ¬ is_indexkey(rk .key) ∧ rk .key .fs .type = void_type ∧ rk .key .fs .field = `initstate' .field → st[rk] ≠ initval(undone) ∧ st[rk] ≠ initval(error) ⊦ rk = r -- i ', _uninit ∈ st, st[rk] ≠ initval(undone) ∧ st[rk] ≠ initval(error)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
⊦ r -- sk ∈ st → r ∈ st
Proof step 17:
sk .fs .type = void_type, sk .fs .field = `initstate' .field, is_fskey(sk), jvmref -- sk ∈ st, jvmref ∈ st, ∀ rk. rk ∈ st ∧ rk .ref = jvmref ∧ ¬ is_indexkey(rk .key) ∧ rk .key .fs .type = void_type ∧ rk .key .fs .field = `initstate' .field → st[rk] ≠ initval(undone) ∧ st[rk] ≠ initval(error) ⊦ sk = i ', _uninit ∈ st, st[jvmref -- sk] ≠ initval(undone) ∧ st[jvmref -- sk] ≠ initval(error)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(i ')], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]