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Proof step 54 from proof contains-subspec (previous step)

tys = ty3 + tys1, type∃(str0, ty1), ty1 ≤ ty, is_reftype(ty), type∃(str0, ty), has_classtype(ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), level⊆(str0, str), type∃(str, ty), contains(str0, tys + ty0 '), is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty3 ≤ ty2, is_arraytype(ty1) → ty3 ≤ ty1 .type, ∀ ty0, str0, str, ty, tys0. # tys0 < # tys → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ level⊆(str0, str) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ tys = [], contains(str, ty, ty0), dups(tys), ty ∈ tys

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 53:
type∃(str0, ty1), ty1 ≤ ty, is_reftype(ty), type∃(str0, ty), has_classtype(ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), level⊆(str0, str), type∃(str, ty), contains(str0, (ty3 ' + tys1) + ty0 '), is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty3 ≤ ty2, is_arraytype(ty1) → ty3 ≤ ty1 .type, ∀ ty0, str0, str, ty, tys0. # tys0 < # (ty3 + tys1) → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ level⊆(str0, str) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ ty = ty3, contains(str, ty, ty0), dups(tys1), ty3 ∈ tys1, ty ∈ tys1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ ty ∈ ty0 ' + tys ↔ ty ≠ ty0 ∧ ¬ ty ∈ tys], [CSIMPSEQ : ⊦ dups(ty ' + tys) ↔ dups(tys) ∨ ty ∈ tys], [CSIMPSEQ : ⊦ (tys + tys0) + tys1 = tys + tys0 + tys1], [CSIMPSEQ : ⊦ ty ' + tys ≠ []], [CSIMPSEQ : ⊦ ty + tys = ty ' + tys])]]