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Proof step 10 from proof still-in-rem (previous step)

count(b, bag0) = m + 1 ⊦ m = 0, b ∈ bag0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: in seq: ⊦ a ∈ bag ↔ count(a, bag) ≠ 0 subst: [bag, a] → [bag0, b] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m + 1 ≠ 0; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: bag0, b