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Proof step 175 from proof same-subclasses-01 (previous step)

contains(str0, mkclasstype(class) ' + tys + mkclasstype(class0) '), same-subclasses-contains(class, str, str0), ∀ class0, str0, str, class, tys0. # tys0 < # tys → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ tdname+∃(str, class0)

User applied rule cut formula

And obtained the following new goals

Proof step 41:
tys = [], contains(str0, mkclasstype(class) ' + tys + mkclasstype(class0) '), same-subclasses-contains(class, str, str0), ∀ class0, str0, str, class, tys0. # tys0 < # tys → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ tdname+∃(str, class0)
Proof step 174:
contains(str0, mkclasstype(class) ' + tys + mkclasstype(class0) '), same-subclasses-contains(class, str, str0), ∀ class0, str0, str, class, tys0. # tys0 < # tys → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ tys = [], tdname+∃(str, class0)

Rule argument

[fma-arg: tys = []]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (tys = [])]]