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Theorem nat2int-04
⊦ n→i(m) < n→i(n) ↔ m < n
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
le
,
ls-fin-add
,
num-i2n-le
,
num-i2n-ls-01
,
num-i2n-ls-02
,
num-i2n-ls-03
,
num-n2i-ls-06
,
switch-ls
,
zero-13
,
Used by units in proved state:
int-pot
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas:
nat2int-06
,
succ-01
,
nat2int-10
,
Used spec theorems:
nat
/
lels
Used simplifier rules:
nat
/
lez-01
int-abs
/
lels
nat
/
lez
nat-basic1
/
elim-pred-c
nat
/
lep-02
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
ls-01
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
oz
nat-basic2
/
succ