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Proof step 3 from proof bagle-in (conclusion)

⊦ m ∈ bag< n ↔ m < n

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ k ∈ bag ↔ count(k, bag) ≠ 0

Rule argument

[x0lemmaarg: spec-name: bag-union instance-name: suffix-array-base lemma-name: in antecedent: succedent: k ∈ bag ↔ count(k, bag) ≠ 0 substlist: [bag, k] → [bag< n, m] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : bagle-count, , , ⊦ count(n, bag< m) = ((n < m ⊃ 1; 0))])], [EXTRATERMS : (bag< n, m)]]