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Proof step 18 from proof junkrefs-levelsubset (previous step)

acc = r0 + refs, r0 = st[r -- fs '] .refval, st[r -- _type] .type ≤ ty, level⊆(str, str0), junkrefs(str0, acc, fs .type, st), is_referencevalue(st[r -- fs ']), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), is_obj(str0, r, st), ∀ str, str0, ty, st. level⊆(str, str0) ∧ junkrefs(str0, acc, ty, st) → junkrefs(str, acc, ty, st) ⊦ acc = [], r = jvmref, junkrefs(str, r ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
is_referencevalue(st[r -- fs ']), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), is_obj(str0, r, st), st[r -- _type] .type ≤ ty, level⊆(str, str0), junkrefs(str0, st[r -- fs '] .refval ' + refs, fs .type, st), ∀ str1, str2, ty0, st0. level⊆(str1, str2) ∧ junkrefs(str2, st[r -- fs '] .refval ' + refs, ty0, st0) → junkrefs(str1, st[r -- fs '] .refval ' + refs, ty0, st0) ⊦ r = jvmref, junkrefs(str, r ' + st[r -- fs '] .refval ' + refs, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]