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Theorem sub-01
i ≤ j, j ≤ 0 ⊦ i→n(i - j) = i→n(i) - i→n(j)
Type: A user defined theorem
Validity: The proof is valid.
Features:
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: 6
Used lemmas:
abs-neg
,
add
,
Used spec theorems:
Used simplifier rules:
int-abs
/
elim-sub
int-abs
/
forward-le-04
int-abs
/
lep-01
int-abs
/
forward-le-02
int-abs
/
lels-02
nat
/
zero
int-abs
/
anti
int-abs
/
neg-11
int-basic2
/
add-a
int-basic2
/
add-c
nat
/
eq-01
nat-basic2
/
a
nat-basic2
/
c
int-abs
/
negle-07
int-basic2
/
add-zero-rev
int-abs
/
zero-gels-03
int-abs
/
zero-gels-04