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Theorem square-interval
m * (m + 1) ≤ n * (n + 1) + 2 * n0, n * (n + 1) + 2 * n0 < (m + 1) * (m + 2), n0 ≤ n ⊦ m = n
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
square-inject
,
Used by units in proved state:
nat-div
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 5
Used lemmas:
coef-18
,
numeral-20
,
coef-21
,
numeral-24
,
succ
,
dist
,
mult-c
,
mult-a
,
rsucc-01
,
square-ls
,
Used spec theorems:
Used simplifier rules:
nat
/
let
nat
/
lep-02
nat
/
succ-01
nat-basic2
/
l
nat-basic2
/
s
nat
/
le-ls-simp
nat
/
lels
nat-basic1
/
f
nat
/
fle
nat
/
fle-01
nat
/
add-num-03
nat-basic2
/
l-02
nat-basic2
/
neq-01
nat-basic2
/
a
nat-basic2
/
c
nat-basic1
/
ls-02