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Theorem ordered-toList-ordered

⊦ ordered≤(t) → ordered≤(t.toList)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 12
Used lemmas: in-tree-in-toList, elem-le-tree-in-tree, tree-le-elem-toList-last, toList-rec, ordered-rec, toList-base, ordered-base,
Used spec theorems:
- olist/ordered-append
Used simplifier rules:
- olist/le-e
- list/c
- list/a
- list/c-08
- list/e-01
- list-last/last-one
- list/e
- olist/le-o
- list-data/elim-add
- olist/orderedle-ls
- list/in-14