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Theorem sub-same
⊦ 0 ≤ i ∧ i ≤ j → (i→n(j) + m - i→n(i)) + i→n(i) = i→n(j) + m
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: 2
Proof steps: 4
Used lemmas:
nat2int-08
,
i2i-pos
,
n2i-add
,
num-i2n-ls-02
,
abs-zero
,
Used spec theorems:
nat
/
prop-01
Used simplifier rules:
int-abs
/
forward-le-01
int-abs
/
forward-le-05
nat-basic1
/
f
nat
/
lels-01
int-abs
/
lels-02
nat-basic2
/
a
nat-basic2
/
c
int-abs
/
forward-lsle
int-basic2
/
ls
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
lels
int-abs
/
lels-03