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Theorem count-mkbag-non-zero
n < i, i ≤ # A, A[n] = a ⊦ count(a, mkbag(A, i)) ≠ 0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
count-mkbag-greater-one
,
in-mkbag-del
,
in-mkbag-del-two
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas:
mkbag-rec
,
mkbag-base
,
Used spec theorems:
bag-basic
/
count-insert
Used simplifier rules:
nat
/
fle
nat-basic
/
f
bag-basic
/
count-empty
nat
/
lez
nat-basic
/
less-1
nat-basic
/
s-04
nat
/
succ-01
nat-basic
/
succ
nat-basic
/
c
nat-basic
/
a
nat-basic
/
z-01
nat
/
lels-03
nat
/
lels
nat
/
anti