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Proof step 18 from proof junkref-addobj-01 (previous step)

¬ (is_obj(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty), is_obj(str, r0, st), fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validfieldinits(fis, st), class+∃(str, class), newref(r, st), junkrefs(str, r0 ' + refs, ty, st) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), r0 ' + refs ≠ [] ∧ (r0 ' + refs) .first = r0 ∧ junkrefs(str, r0 ' + refs, st[(r0 ' + refs) .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
⊦ ¬ junkrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ r ≠ jvmref → (junkrefs(str, r ' + refs, ty, st) ↔ ¬ st[r -- _type] .type ≤ ty)
Proof step 17:
fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), is_obj(str, r0, st), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validfieldinits(fis, st), class+∃(str, class), newref(r, st) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), junkrefs(str, r0 ' + refs, st[r0 -- _type] .type, st), st[r0 -- _type] .type ≤ ty

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]