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Theorem square-two
⊦ m ≤ n → (n * n + n = m * 2 ↔ ¬ ¬(n = m ∧ n < 2))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
nat-div
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas:
le-num
,
two-zero-01
,
twoeq
,
coef-18
,
mult-c
,
mult-a
,
coef-17
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
twols-02
nat
/
add-num-04
nat
/
lels-01
nat
/
le-ls-simp
nat
/
one-02
nat
/
le-num-05
nat-basic2
/
a
nat-basic2
/
c
nat
/
lez-01
nat
/
lels
nat
/
not-zero
nat
/
let