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Theorem max-ifins

⊦ (s ++ a).max = (s = ∅ ⊃ a;(a < s.max ⊃ s.max;a))

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: max-ins, max-ins-01, min-two-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: max-gr, max-q, minmax-04, Min-min, Max-max, Min-in, Max-in, max-one,
Used spec theorems:
- Used simplifier rules: