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Proof step 17 from proof validsubset-put-statfield (previous step)

⊦ (∀ r, ty. validref(str, r, ty, st) → validref(str, r, ty, st0[jvmref -- sk, val])) ∧ (∀ r. ¬ r ∈ st ∧ r ∈ st0[jvmref -- sk, val] → ¬ junkref(str, r, st0[jvmref -- sk, val])) ↔ valid⊆(str, st, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ validref(str, r, ty1, st[jvmref -- sk, val]) ↔ validref(str, r, ty1, st)
Proof step 16:
⊦ (∀ r, ty. validref(str, r, ty, st) → validref(str, r, ty, st0)) ∧ (∀ r. ¬ r ∈ st ∧ (r = jvmref ∨ r ∈ st0) → ¬ junkref(str, r, st0[jvmref -- sk, val])) ↔ valid⊆(str, st, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ∈ st[r0 -- sk, val] ↔ r = r0 ∨ r ∈ st])]]