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Proof step 2 from proof size-class (previous step)

⊦ # (claset ++ str .class) = 1 + # (claset -- str .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ class ∈ claset → # (claset ++ class) = # claset + 1

Rule argument

[speclemmaarg: ,¬ class ∈ claset → # (claset ++ class) = # claset + 1 ,[class, claset] → [str .class, claset] ,F ,set-basic ,classnames ,Size-insert ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = m + n0 ↔ n = n0], [CSIMPSEQ : ⊦ ¬ class ∈ claset → claset -- class = claset], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ class ∈ claset → claset ++ class = claset], [CSIMPSEQ : ⊦ class ∈ claset → # (claset -- class) = # claset - 1], [CSIMPFORWARD : ⊦ class ∈ claset → claset ≠ ∅], [CSIMPFORWARD : ⊦ # claset = 0 → claset = ∅], [CSIMPSEQ : ⊦ m < 1 ↔ m = 0], [CSIMPSEQ : ⊦ ¬ m ≤ n ↔ n < m], [CSIMPSEQ : n ≤ m ⊦ (m - n) + n0 = n1 ↔ m + n0 = n + n1], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1])], [EXTRATERMS : (str .class, claset)]]