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Proof step 105 from proof junkrefs-put-refval (previous step)

is_obj(r, st), st[r0 -- _type] .type ≤ fs .type, fs ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r1 ' + acc, ty, st[r -- fs ', refval(r0)]), ∀ str, ty, st, r0, r, fs. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ is_obj(r, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs ' ∈ instfields(st[r -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 104:
fs = mkfs(class, ty0, fieldvar), is_obj(r, st), st[r0 -- _type] .type ≤ ty0, fs ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r1 ' + acc, ty, st[r -- fs ', refval(r0)]), ∀ str, ty, st, r0, r, fs. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ is_obj(r, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs ' ∈ instfields(st[r -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty0, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty0, fieldvar)]]