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Theorem square-inject
⊦ ((m + n) * (m + n + 1)) / 2 + n = ((m0 + n0) * (m0 + n0 + 1)) / 2 + n0 ↔ m = m0 ∧ n = n0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
square-inj
,
Used by units in proved state:
nat-pair
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 6
Used lemmas:
square-even-02
,
mult-div
,
Used spec theorems:
nat-mult
/
dist
nat-mult
/
square-inject
Used simplifier rules:
nat-mult
/
zero-02
nat-mult
/
coef-04
nat-basic2
/
eq-01
nat-basic2
/
a
nat-basic2
/
c
nat-mult
/
rsucc-02
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-mult
/
succ
nat
/
lep