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Proof step 5 from proof max-plus-one (previous step)

ns.max + 1 ∈ ns ⊦ ns = ∅, # ns = 0

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 1:
⊦ n ∈ ns → ¬ ns.max < n

Rule argument

spec: oset inst: nat-set name: Max-max seq: ⊦ n ∈ ns → ¬ ns.max < n subst: [n, ns] → [ns.max + 1, ns] flags: []

Additional information

[Concretesimprules(()), Extraterms((ns.max + 1ns))]