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Proof step 83 from proof validrefs-not-contains (previous step)

¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ ty1)), st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st), tdname+∃(str, class0), contains(str, st[r0 -- _type] .type ' + tys + st[r1 -- _type] .type '), validrefs(str, r0 ' + refs0 + r1 ', ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), class0 ≤ class1 ⊦ r = jvmref, r = r1, r1 = jvmref, r0 = r1, ∃ ty0. ty0 ≤ mkclasstype(class0) ∧ type∃(str, ty0) ∧ (is_classtype(ty0) → ¬ interface∃(str, ty0 .class) ∧ (∃ fs. fs ' ∈ instfields(ty0 .class) ∧ st[r0 -- _type] .type ≤ fs .type)) ∧ (is_arraytype(ty0) → st[r0 -- _type] .type ≤ ty0 .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 82:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st), tdname+∃(str, class0), contains(str, st[r0 -- _type] .type ' + tys + st[r1 -- _type] .type '), validrefs(str, r0 ' + refs0 + r1 ', ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), class0 ≤ class1, is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty1 ⊦ r = jvmref, r = r1, r1 = jvmref, r0 = r1, r0 = jvmref, ∃ ty0. ty0 ≤ mkclasstype(class0) ∧ type∃(str, ty0) ∧ (is_classtype(ty0) → ¬ interface∃(str, ty0 .class) ∧ (∃ fs. fs ' ∈ instfields(ty0 .class) ∧ st[r0 -- _type] .type ≤ fs .type)) ∧ (is_arraytype(ty0) → st[r0 -- _type] .type ≤ ty0 .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ validrefs (str, jvmref ' + refs, ty, st) ↔ refs = []])]]