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Theorem bst-branch-strong

⊦ bst(branch(t0, b, t1)) ↔ (∀ a. a ∈ t0 → a < b) ∧ (∀ a. a ∈ t1 → b < a) ∧ (∀ a. ¬ (a ∈ t0 ∧ a ∈ t1)) ∧ (∀ a, c. a ∈ t0 ∧ c ∈ t1 → a < c) ∧ bst(t0) ∧ bst(t1)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: butleftmost-in, challenge3, ismin,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 12
Used lemmas: bst-branch,
Used spec theorems:
- Used simplifier rules: