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Theorem le-fin-add
⊦ n→i(m) ≤ n→i(n) + (* i) ∧ 0 ≤ i → m ≤ n + i→n(i)
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: 3
Proof steps: 6
Used lemmas:
abs-zero
,
i2i-pos-01
,
n2i-add
,
pos-int
,
succ-01
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-01
nat-basic1
/
f
nat
/
lels-01
nat-basic2
/
s
int-abs
/
succ-01
nat-basic2
/
oz
nat-basic2
/
succ
nat
/
lez-01
nat-basic2
/
z-01
int-abs
/
zero-gels-04
int-abs
/
lels-01
int-basic1
/
ls-01
nat
/
lels
nat
/
anti
nat-basic2
/
a
nat-basic2
/
c
int-abs
/
lep-02
int-abs
/
ler
int-basic2
/
add-a
int-basic2
/
add-c
int-basic2
/
ls-01
int-basic1
/
irref