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Theorem coef-same
⊦ 0 ≤ j → binom_coef(j, j) = 1
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Binom-theorem-countFun
,
coef-same-01
,
middle-coef-larger-strongest
,
Used by units in proved state:
int-mod
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas:
fac-zero-02
,
fac-zero
,
binom-def
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-01
int-abs
/
sub-sub-03
int-mult
/
one
int-mult
/
associativity
int-mult
/
commutativity
int-div
/
div-same
int-abs
/
zero-gels-04
int-abs
/
ler