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Proof step 11 from proof junkrefs-put-badclassfield (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- _type] .type = mkclasstype(class), junkrefs(str, r ' + acc, ty, st[r -- fs ', val]), is_obj(str, r, st), is_classtype(ty), class ≤ ty .class, ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_classtype(st[r0 -- _type] .type) ∧ ¬ fs ' ∈ instfields(st[r0 -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ r = jvmref, fs ' = _type, is_obj(str, r, st[r -- fs ', val]), fs ' ∈ instfields(class), junkrefs(str, r ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class) ≤ ty ↔ is_classtype(ty) ∧ class ≤ ty .class], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]