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Proof step 12 from proof contains-predefined (previous step)

is_predefined_class(class), tdname+∃(str, class), ∀ class0. tdname∃(str, class0) ∧ class0 ≤ class → is_predefined_class(class0), is_classtype(ty0) ∧ ty0 .class ≤ class ∧ type∃(str, ty0) ∧ type∃(str, ty) ∧ ¬ interface∃(str, ty0 .class) ∧ mkfs(class1, ty3, fieldvar) ' ∈ instfields(ty0 .class) ∧ ty ≤ ty3 ∨ is_classtype(ty1) ∧ ty1 .class ≤ class ∧ type∃(str, ty1) ∧ ¬ interface∃(str, ty1 .class) ∧ fs0 ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs0 .type ∧ contains(str, ty2, ty) ⊦ class = `java.lang.Object' .class

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
fs0 = mkfs(class2, ty4, fieldvar0), is_predefined_class(class), tdname+∃(str, class), ∀ class0. tdname∃(str, class0) ∧ class0 ≤ class → is_predefined_class(class0), is_classtype(ty0) ∧ ty0 .class ≤ class ∧ type∃(str, ty0) ∧ type∃(str, ty) ∧ ¬ interface∃(str, ty0 .class) ∧ mkfs(class1, ty3, fieldvar) ' ∈ instfields(ty0 .class) ∧ ty ≤ ty3 ∨ is_classtype(ty1) ∧ ty1 .class ≤ class ∧ type∃(str, ty1) ∧ ¬ interface∃(str, ty1 .class) ∧ fs0 ' ∈ instfields(ty1 .class) ∧ ty2 ≤ ty4 ∧ contains(str, ty2, ty) ⊦ class = `java.lang.Object' .class

Rule argument

[x0lemmaarg: spec-name: fieldspec instance-name: lemma-name: elim antecedent: succedent: class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) substlist: [fs, class, ty, fieldvar] → [fs0, class2, ty4, fieldvar0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs0, class2, ty4, fieldvar0)]]