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Theorem rowsorted-biggercol-oddbounded
srowsorted(mx, #r mx, mx), c0 < #c mx, c < #c mx, c0 < c, m ≤ n, n ≤ #r mx ⊦ count(mx[c]c, m, n, λ j. j < i) ≥ countodd(mx[c0]c, m, n, λ j. j < i)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
max0column-countcol-big-odd
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 13
Proof steps: 34
Used lemmas:
srowsorted-def
,
countodd-rec
,
countodd-base
,
Used spec theorems:
filter-count
/oarray-sort/
countrange-rec
olist
/oarray-sort/
orderedle-all
rowcol-upd
/
rev-get
Used simplifier rules:
nat-basic
/
succ
nat-basic
/
f
nat
/
let
nat-basic
/
trans-nat
nat-basic
/
lf
nat
/
le-def
nat
/
ge
nat
/
lez-01
matrix+array
/
selcol-size
nat
/
lez
nat-basic
/
c
nat-basic
/
a
nat
/
succ-01
nat
/
lels-03
nat
/
les
nat
/
eqle-one
nat-basic
/
lf-01
nat
/
fle
nat-basic
/
oz
nat
/
lep-02
nat-basic
/
s-04
nat-basic
/
refl-nat
filter-count
/oarray-sort/
countrange-base
nat
/
lels
nat
/
ls-le-simp
nat
/
fle-01
matrix+array
/
selcol-get
nat-basic
/
add-base
nat-basic
/
l-02
nat
/
ls-add-not-01
nat
/
ler
nat
/
anti
nat-basic
/
l-01
list-perm
/oarray-sort/
ref
nat-even
/
oe-01
matrix+array
/
selrow-size
list-last
/oarray-sort/
rev-length
nat
/
ls-01
nat
/
ls-03
nat
/
elim-sub
nat-basic
/
ls-02
nat-basic
/
l
nat-basic
/
one-06
nat-basic
/
one
nat
/
lep
nat-basic
/
l-06
nat-basic
/
eqs
nat-basic
/
eq-01
nat-basic
/
lf-02
nat-basic
/
l-05
matrix+array
/
selrow-get
oelem
/
nll