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Theorem max-ins
⊦ ¬ max(x) < a ∧ x ≠ [] → max(ins≤(a, x)) = max(x)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
sort-max-max-list
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 22
Used lemmas:
max-rec
,
max-base
,
Used spec theorems:
olist
/
ins-n
Used simplifier rules:
list
/
e-01
olist
/
ins-e
olist
/
ins-one-01
list
/
app
list
/
app-02-ant
list
/
e
oelem
/
nnn
list
/
a
olist
/
ins-y
list
/
c
olist
/
empty
oelem
/
transitivity
oelem
/
lel
oelem
/
nll