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Theorem add-assoc
⊦ (r + r0) + r1 = r + r0 + r1
Type: An axiom
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
add-in
,
add-less
,
double-neg
,
eq
,
eqint-neg
,
eqnum-add1
,
eqnum-add2
,
eqnum-addboth1
,
eqnum-addboth2
,
ex-ls-add
,
ex-oddeven
,
inv-add
,
ls
,
ls-02
,
ls-03
,
ls-zero
,
lsls-add-noteq
,
lsls-add-notgr
,
lsnum-add1
,
lsnum-add2
,
lsnum-add3
,
lsnum-add4
,
lsnum-addboth1
,
lsnum-addboth2
,
lst
,
lst-01
,
lst-02
,
lst-03
,
lst-04
,
lst-05
,
mone
,
mone-02
,
mone-03
,
neg-01
,
neg-02
,
neg-05
,
neg-08
,
neg-09
,
neg-10
,
neg-12
,
neg-14
,
neg-add
,
neg-zero
,
negadd
,
negadd-eq
,
negeq
,
negl-ls
,
negladd-ls
,
negr-ls
,
negradd-ls
,
neq
,
neq-01
,
nls
,
not-zero-pos
,
pls
,
pls-01
,
pls-02
,
pls-03
,
pls-04
,
plst
,
plst-01
,
sub-eq
,
sub-eq-01
,
sub-ls-02
,
ttwo
,
zero
,
zero-01
,
zero-02
,
zero-03
,
zero-05
,
zero-06
,
zero-07
,
Used by units in proved state:
real-limit
,
real-multdiv
,
real-min-max
,
real-abs
,
real-floor-ceil
,
real-supinf
,
Proof exists?: No