[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 mod-nle
⊦ m0 < m ∧ n ≤ n0 ∧ n2 < n0 ∧ n1 < n → ¬ m * n0 + n2 ≤ m0 * n + n1
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
mod-nle-01
,
mod-nls
,
modls-01
,
Used by units in proved state:
nat-div
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 12
Used lemmas:
ls
,
modls-03
,
mult-c
,
mult-a
,
modeq
,
Used spec theorems:
nat-basic1
/
trans-1
nat
/
fle
Used simplifier rules:
nat
/
fle
nat
/
ler
nat-basic1
/
lf-02
nat-basic1
/
lf-01
nat-basic1
/
f
nat-basic2
/
l-04
nat-basic1
/
ref-1
nat-basic2
/
succ
nat-basic1
/
lf
nat
/
lels-02
nat-basic2
/
a
nat-basic2
/
c
nat-basic2
/
l
nat-basic1
/
ls-02