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Proof step 2 from proof Size-insert (previous step)

⊦ # insert(a, d, st) = # st + 1, a ∈ st

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ a ∈ st → # st[a, d] = # st + 1

Rule argument

spec: store inst: name: Size-insert seq: ⊦ ¬ a ∈ st → # st[a, d] = # st + 1 subst: [a, st, d] → [a, st, d] flags:

Additional information

Used simplifier rules: insert-def: ⊦ st[a, d] = insert(a, d, st); from specification lookup Used terms: a, st, d