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Proof step 18 from proof junkrefs-put-null-02 (previous step)

is_obj(str, r0, st[r -- i ', refval(jvmref)]) ∧ (st[r -- i ', refval(jvmref)][r0 -- _type]) .type ≤ ty, is_obj(str, r0, st), acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields((st[r -- i ', refval(jvmref)][r0 -- _type]) .type .class) ∧ is_referencevalue(st[r -- i ', refval(jvmref)][r0 -- fs ']) ∧ acc .first = (st[r -- i ', refval(jvmref)][r0 -- fs ']) .refval ∧ junkrefs(str, acc, fs .type, st[r -- i ', refval(jvmref)])), is_reftype(st[r -- _type] .type .type), st[r0 -- _type] .type ≤ ty, ∀ st, r, str, ty, i. is_reftype(st[r -- _type] .type .type) ∧ junkrefs(str, acc, ty, st[r -- i ', refval(jvmref)]) → r = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r0 = jvmref, r = jvmref, junkrefs(str, r0 ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
acc .first = st[r0 -- fs '] .refval, junkrefs(str, acc, fs .type, st[r -- i ', refval(jvmref)]), is_reftype(st[r -- _type] .type .type), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), ∀ st, r, str, ty, i. is_reftype(st[r -- _type] .type .type) ∧ junkrefs(str, acc, ty, st[r -- i ', refval(jvmref)]) → r = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r0 = jvmref, r = jvmref, acc = [], junkrefs(str, r0 ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- _type]) = st[r0 -- _type]], [CSIMPSEQ : ⊦ is_obj (str, r, st[r0 -- i ', val]) ↔ is_obj(str, r, st)], [CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- fs ']) = st[r0 -- fs ']])]]