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Theorem ordered-precedes

⊦ ordered(ix, x) ∧ n0 ∈ ix ∧ n1 ∈ ix → (precedes(n0, n1, x) ↔ false)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 16
Used lemmas: precedes-def, ordered-precedes-h, precedes-notsame,
Used spec theorems:
- list/indexseq/firstoc-rew
Used simplifier rules:
- list/indexseq/in-17
- list/indexseq/in-append
- nat-basic1/f
- list/indexseq/a
- nat-basic1/ls-02