[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem count1-leq-clean1-ind
c < #c mx ⊦ m ≤ #clean1rows(mx, i) → count(mx[c]c, #r mx - #clean1rows(mx, i), (#r mx - #clean1rows(mx, i)) + m, λ j. ¬ j < i) = m
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
count1-leq-clean1
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 14
Used lemmas:
clean1rows-allge
,
clean1rows-bounded
,
Used spec theorems:
filter-count
/oarray-sort/
count-zero
Used simplifier rules:
nat
/
le-def
nat
/
elim-sub
nat-basic
/
f
nat
/
let
nat-basic
/
add-base
matrix+array
/
selcol-size
nat
/
lez
nat
/
fle-01
nat-basic
/
lf-02
nat-basic
/
l-02
nat-basic
/
a
nat-basic
/
c
filter-count
/oarray-sort/
countrange-base
nat-basic
/
lf-01
nat
/
fle
nat
/
succ-01
nat-basic
/
succ
matrix+array
/
selcol-get
filter-count
/oarray-sort/
countrange-rec
nat-basic
/
l-07
nat
/
lep
nat-basic
/
eq-01
nat
/
lels-03
nat-basic
/
l-01
nat-basic
/
l
nat-basic
/
l-06
matrix+array
/
selrow-get
matrix+array
/
selrow-size