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Proof step 58 from proof junkref-addobj-01 (previous step)

fis .keys = instfields(class), (addobj(r, class, fis, st)[r -- mkfs(class0, ty, fieldvar) ']) = refval(r0), 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), ∀ sk, r1. sk × refval(r1) ∈ fis → ¬ junkref(str, r1, st) ⊦ r = jvmref, is_abstract(class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ sk ∈ fis → (addobj(r, class, fis, st)[r -- sk]) = fis[sk]
Proof step 6:
¬ mkfs(class0, ty, fieldvar) ' ∈ fis, fis .keys = instfields(class), (addobj(r, class, fis, st)[r -- mkfs(class0, ty, fieldvar) ']) = refval(r0), 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), ∀ sk, r1. sk × refval(r1) ∈ fis → ¬ junkref(str, r1, st) ⊦ r = jvmref, is_abstract(class)
Proof step 57:
mkfs(class0, ty, fieldvar) ' ∈ fis, fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), 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), ∀ sk, r1. sk × refval(r1) ∈ fis → ¬ junkref(str, r1, st) ⊦ r = jvmref, is_abstract(class)

Rule argument

[speclemmaarg: ,sk ∈ fis → (addobj(r, class, fis, st)[r -- sk]) = fis[sk] ,[sk, st, fis, class, r] → [mkfs(class0, ty, fieldvar) ', st, fis, class, r] ,F ,addfuns , ,add-in-09 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkfs(class0, ty, fieldvar) ', st, fis, class, r)]]