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Proof step 8 from proof inos-greater-del (previous step)

∀ n. inodekey(n) ∈ ri → n < maxino ⊦ ∀ n0. n0 ∈ (ri -- key).inos → n0 < maxino

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
inodekey(n) ∈ ri, maxino ≤ n, ∀ n. inodekey(n) ∈ ri → n < maxino ⊦ inodekey(n) = key

Rule argument

Additional information

Used simplifier rules: inos-node-store-def: ⊦ n ∈ ri.inos ↔ inodekey(n) ∈ ri;% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ key ∈ ri -- key0 ↔ key ≠ key0 ∧ key ∈ ri; (s)