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Proof step 1 from proof size-subset (conclusion)

⊦ st ⊆ st0 → # st ≤ # st0

User applied rule induction

And obtained the following new goals

Proof step 2:
true, ∀ st1, st. # st1 < # st0 → true → st ⊆ st1 → # st ≤ # st1 ⊦ st ⊆ st0 → # st ≤ # st0

Rule argument

indvar: # st0 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # st0