[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem square-inject
m * (m + 1) + 2 * m0 = n * (n + 1) + 2 * n0, m0 ≤ m, n0 ≤ n ⊦ m = n ∧ m0 = n0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
nat-div
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 2
Used lemmas:
zero-02
,
coef-21
,
numeral-24
,
succ
,
dist
,
mult-c
,
mult-a
,
rsucc-01
,
square-interval
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
eq-01
nat-basic2
/
a
nat-basic2
/
c
nat
/
lep-02
nat
/
lep
nat-basic2
/
l
nat-basic2
/
s
nat
/
le-ls-simp