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Theorem max-ins-max
⊦ ¬ a < max(x) → max(ins≤(a, x)) = a
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 32
Used lemmas:
max-ge-first
,
max-rec
,
max-base
,
Used spec theorems:
olist
/
le-r
olist
/
cons-03
olist
/
k-le-r
Used simplifier rules:
olist
/
empty
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
olist
/
ins-n
oelem
/
lel
olist
/
ins-e
oelem
/
transitivity
oelem
/
nll
oelem
/
ls-le
oelem
/
irreflexivity
olist
/
ins-y
list
/
app-02-ant
list
/
e
list
/
e-01
oelem
/
seq
oelem
/
nnn
list
/
a
list
/
c
olist
/
le-r