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Proof step 60 from proof unchNorec-validrefs (previous step)

¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), validrefs(str, r ' + refs0, ty, st), ∀ str, ty, st, st0. validrefs(str, refs0, ty, st) ∧ (∀ r. r ∈ refs0 → unchangedNorec(r, st, st0)) → validrefs(str, refs0, ty, st0), ∀ r0. r0 = r ∨ r0 ∈ refs0 → unchangedNorec(r0, st, st0) ⊦ validrefs(str, r ' + refs0, ty, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 59:
validrefs(str, r ' + refs0, ty, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st, st0. validrefs(str, refs0, ty, st) ∧ (∀ r. r ∈ refs0 → unchangedNorec(r, st, st0)) → validrefs(str, refs0, ty, st0), ∀ r0. r0 = r ∨ r0 ∈ refs0 → unchangedNorec(r0, st, st0) ⊦ r = jvmref, validrefs(str, r ' + refs0, ty, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ validrefs (str, jvmref ' + refs, ty, st) ↔ refs = []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]