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Proof step 78 from proof validrefs-put-notin-03 (previous step)

r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty), is_valid_ref(str, r, st) ↔ is_valid_ref(str, r, st[r -- sk, val]) ⊦ r = r0, val .refval = r0, r0 = st[r -- sk] .refval, sk = _type, sk = _length, validrefs(str, r ' + r0 ' + refs1, ty, st[r -- sk, val]) ↔ false, r ∈ refs1, dups(refs1), r0 ∈ refs1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 75:
⊦ ¬ is_valid_ref(str, r, st) → (validrefs(str, r ' + refs, ty, st) ↔ r = jvmref ∧ refs = [])
Proof step 77:
is_valid_ref(str, r, st), is_valid_ref(str, r, st[r -- sk, val]), validrefs(str, r ' + r0 ' + refs1, ty, st[r -- sk, val]) ⊦ r = jvmref, r = r0, val .refval = r0, r0 = st[r -- sk] .refval, sk = _type, sk = _length, r ∈ refs1, dups(refs1), r0 ∈ refs1, st[r -- _type] .type ≤ ty

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]