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Proof step 18 from proof validrefs-not-contains (previous step)

st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty0 ⊦ r0 = jvmref, r = r0, r = jvmref, contains(str, st[r -- _type] .type ' + [] + st[r0 -- _type] .type ')

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty0 ⊦ r0 = jvmref, r = r0, r = jvmref, contains(str, st[r -- _type] .type ' + st[r0 -- _type] .type ')

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (tys + tys0) + tys1 = tys + tys0 + tys1], [CSIMPSEQ : ⊦ [] + tys = tys])]]