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Proof step 33 from proof junkref-primarray-level-01 (previous step)

¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str1, r, st) ∨ ¬ st[r -- _type] .type ≤ st[r -- _type] .type)), junkrefs(str, r ' + refs0, st[r -- _type] .type, st), ∀ str1, st, r, str, refs. # refs < # refs0 → (junkrefs(str, r ' + refs, st[r -- _type] .type, st) → has_classtype(st[r -- _type] .type) ∨ junkrefs(str1, r ' + refs, st[r -- _type] .type, st)) ⊦ junkrefs(str1, r ' + refs0, st[r -- _type] .type, st), has_classtype(st[r -- _type] .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ ¬ junkrefs(str, jvmref ' + refs, ty, st)
Proof step 32:
junkrefs(str, r ' + refs0, st[r -- _type] .type, st), is_valid_ref(str1, r, st), ∀ str1, st, r, str, refs. # refs < # refs0 → (junkrefs(str, r ' + refs, st[r -- _type] .type, st) → has_classtype(st[r -- _type] .type) ∨ junkrefs(str1, r ' + refs, st[r -- _type] .type, st)) ⊦ r = jvmref, junkrefs(str1, r ' + refs0, st[r -- _type] .type, st), has_classtype(st[r -- _type] .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ ¬ has_classtype(ty) → (ty0 ≤ ty ↔ ty0 = ty)])]]