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Proof step 22 from proof contains-field-def-case (previous step)

¬ ¬ is_reftype(ty), ty1 ≤ ty, type∃(str, ty), ty0 ≤ ty, type∃(str, ty0), is_reftype(ty0), ty1 ≤ ty0, type∃(str, ty1), type∃(str, ty2), is_reftype(ty2), is_arraytype(ty1) → ty2 ≤ ty1 .type, is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ mkfs(class, ty3, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty2 ≤ ty3, is_classtype(ty2) → ¬ interface∃(str, ty2 .class) ∧ fs ' ∈ instfields(ty2 .class), is_arraytype(ty2) → fs ' = _length ⊦ ty2 ≤ ty, is_reftype(ty) ∧ (∃ ty4. ty4 ≤ ty ∧ type∃(str, ty4) ∧ (is_classtype(ty4) → ¬ interface∃(str, ty4 .class) ∧ (∃ fs. fs ' ∈ instfields(ty4 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty4) → ty2 ≤ ty4 .type))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
is_reftype(ty), ty1 ≤ ty, type∃(str, ty), ty0 ≤ ty, type∃(str, ty0), is_reftype(ty0), ty1 ≤ ty0, type∃(str, ty1), type∃(str, ty2), is_reftype(ty2), is_arraytype(ty1) → ty2 ≤ ty1 .type, is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ mkfs(class, ty3, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty2 ≤ ty3, is_classtype(ty2) → ¬ interface∃(str, ty2 .class) ∧ fs ' ∈ instfields(ty2 .class), is_arraytype(ty2) → fs ' = _length ⊦ ty2 ≤ ty, ∃ ty4. ty4 ≤ ty ∧ type∃(str, ty4) ∧ (is_classtype(ty4) → ¬ interface∃(str, ty4 .class) ∧ (∃ fs. fs ' ∈ instfields(ty4 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty4) → ty2 ≤ ty4 .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]