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Proof step 16 from proof levelsubset-trans (previous step)

level⊆(str0, str1), level⊆(str, str0) ⊦ (class∃(str, class) → class∃(str1, class)) ∧ (interface∃(str, class0) → interface∃(str1, class0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ level⊆(str, str0) ↔ (∀ class. class∃(str, class) → class∃(str0, class)) ∧ (∀ class. interface∃(str, class) → interface∃(str0, class))
Proof step 15:
level⊆(str0, str1), (∀ class. class∃(str, class) → class∃(str0, class)) ∧ (∀ class. interface∃(str, class) → interface∃(str0, class)) ⊦ (class∃(str, class) → class∃(str1, class)) ∧ (interface∃(str, class0) → interface∃(str1, class0))

Rule argument

[crewrite-arg: levelsubset-def, F, [str0, str] → [str0, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str0, str)]]