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Theorem square-interval
(m * (m + 1)) / 2 ≤ (n * (n + 1)) / 2 + n0, (n * (n + 1)) / 2 + n0 < ((m + 1) * (m + 2)) / 2, n0 ≤ n ⊦ m = n
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
nat-pair
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 10
Used lemmas:
square-even-03
,
mod-once
,
square-even-02
,
le-div-to-mult
,
two-rec
,
mult-div
,
Used spec theorems:
nat-mult
/
square-interval
nat-mult
/
dist
Used simplifier rules:
nat
/
lels-01
nat
/
le-ls-simp
nat-mult
/
le-num
nat-mult
/
rsucc-02
nat-basic2
/
a
nat-basic2
/
c
nat-mult
/
mult-a
nat-mult
/
coef-21
nat-basic2
/
s
nat
/
lels
nat-mult
/
mult-c