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Proof step 50 from proof contains-field-def-case (previous step)

type∃(str, ty), ty0 ≤ ty, type∃(str, ty0), is_reftype(ty0), ty1 ≤ ty0, type∃(str, ty1), contains(str, tys0), is_reftype(tys0 .last), ty1 ≤ ty, is_arraytype(ty1) → tys0 .first ≤ ty1 .type, is_classtype(tys0 .last) → ¬ interface∃(str, tys0 .last .class) ∧ fs ' ∈ instfields(tys0 .last .class), is_arraytype(tys0 .last) → fs ' = _length, is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ fs0 ' ∈ instfields(ty1 .class) ∧ tys0 .first ≤ fs0 .type ⊦ tys0 = [], contains(str, ty ' + tys0), tys0 .last ≤ ty ∧ type∃(str, tys0 .last)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 49:
tys0 = ty2 + tys, type∃(str, ty), ty0 ≤ ty, type∃(str, ty0), is_reftype(ty0), ty1 ≤ ty0, type∃(str, ty1), contains(str, tys0), is_reftype(tys0 .last), ty1 ≤ ty, is_arraytype(ty1) → ty2 ≤ ty1 .type, is_classtype(tys0 .last) → ¬ interface∃(str, tys0 .last .class) ∧ fs ' ∈ instfields(tys0 .last .class), is_arraytype(tys0 .last) → fs ' = _length, is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ fs0 ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs0 .type ⊦ tys0 = [], contains(str, ty ' + tys0), tys0 .last ≤ ty ∧ type∃(str, tys0 .last)

Rule argument

[speclemmaarg: tys ≠ [] ,ty = tys .first ∧ tys0 = tys .rest ↔ tys = ty + tys0 ,[tys, ty, tys0] → [tys0, ty2, tys] ,T ,list-data ,javatypes ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : tys ≠ [] ⊦ ty = tys .first ∧ tys0 = tys .rest ↔ tys = ty + tys0])], [EXTRATERMS : (tys0, ty2, tys)]]