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Theorem ordered-max

⊦ x ≠ [] ∧ ordered≤(x) → max(x) = x.last

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: sort-max, sort-max-last, sort-max-max-list,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 9
Used lemmas: max-rec, max-base,
Used spec theorems:
- olist/k-le-r
Used simplifier rules:
- olist/cons-02
- list/c-08
- list/c-07
- nat-basic2/c
- nat-basic2/a
- list-data/l
- nat-basic1/one-01
- nat/succ-01
- nat-basic2/succ
- list/len-05
- list-data/elim-list-c
- list/e-01
- list/c
- list/a
- list-last/l-02
- oelem/lel
- oelem/transitivity
- oelem/nll
- oelem/irreflexivity
- oelem/nnn
- list/app
- list-last/l