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Proof step 40 from proof same-subclasses-01 (previous step)

same-subclasses-contains(class, str, str0), contains(str0, mkclasstype(class) ' + mkclasstype(class0) '), ∀ class0, str0, str, class, tys0. # tys0 < # [] → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ tdname+∃(str, class0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ contains(str, ty ' + ty0 ') ↔ type∃(str, ty) ∧ is_reftype(ty) ∧ (∃ ty1. ty1 ≤ ty ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty0 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty0 ≤ ty1 .type) ∧ type∃(str, ty0))
Proof step 39:
same-subclasses-contains(class, str, str0), type∃(str0, mkclasstype(class)) ∧ is_reftype(mkclasstype(class)) ∧ (∃ ty1. ty1 ≤ mkclasstype(class) ∧ type∃(str0, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ mkclasstype(class0) ≤ fs .type)) ∧ (is_arraytype(ty1) → mkclasstype(class0) ≤ ty1 .type) ∧ type∃(str0, mkclasstype(class0))), ∀ class0, str0, str, class, tys0. # tys0 < # [] → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ tdname+∃(str, class0)

Rule argument

[crewrite-arg: contains-two , F , [ty0, ty, str] → [mkclasstype(class0), mkclasstype(class), str0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkclasstype(class0), mkclasstype(class), str0)]]