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Proof step 94 from proof validrefs-not-contains (previous step)

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r0 ' + refs0 + r1 ', ty1, st), ∃ tys. contains(str, st[r0 -- _type] .type ' + (tys + st[r1 -- _type] .type)) ⊦ r0 = r1, r1 = jvmref, r = r1, r = jvmref, contains(str, st[r -- _type] .type, st[r1 -- _type] .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 93:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r0 ' + refs0 + r1 ', ty1, st), contains(str, st[r0 -- _type] .type ' + tys + st[r1 -- _type] .type ') ⊦ r0 = r1, r1 = jvmref, r = r1, r = jvmref, contains(str, st[r -- _type] .type, st[r1 -- _type] .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tys + ty = tys + ty '])]]