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Theorem eq-dist
⊦ (i + j) * i0 = j0 + j * i0 ↔ i * i0 = j0
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
abs-ls-same-01
,
dist-lsplit
,
dist-rmerge
,
dist-sub-merge
,
dist-sub-split
,
numdist
,
numeq-01
,
numsub
,
numsucc
,
pred-rmerge
,
succ-rmerge
,
two-pred
,
two-sub
,
zero-gr-add-02
,
Used by units in proved state:
int-pot
,
int-gcd
,
int-div
,
intnat
,
int-square
,
int-min
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
commutativity
,
associativity
,
dist-rsplit
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
add-in
int-basic2
/
add-c
int-basic2
/
add-a