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Proof step 9 from proof contains-intarray-01 (previous step)

tys ≠ [] ⊦ tys = [], type∃(str, mkarraytype(int_type)) ∧ is_reftype(mkarraytype(int_type)) ∧ (∃ ty1. ty1 ≤ mkarraytype(int_type) ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ tys .first ≤ fs .type)) ∧ (is_arraytype(ty1) → tys .first ≤ ty1 .type) ∧ contains(str, tys)) ↔ tys = int_type '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
⊦ tys = [], (∃ ty. is_arraytype(ty) ∧ ty .type = int_type ∧ type∃(str, ty) ∧ tys .first ≤ ty .type ∧ contains(str, tys)) ↔ tys = int_type '

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(ty) → ¬ is_classtype(ty)], [CSIMPSEQ : ⊦ ty ≤ int_type ↔ ty = int_type], [CSIMPSEQ : ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty], [CSIMPSEQ : ⊦ is_reftype(mkarraytype(ty))], [CSIMPSEQ : ⊦ type∃(str, int_type)], [CSIMPSEQ : ⊦ type∃(str, mkarraytype(ty)) ↔ type∃(str, ty)])]]