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Theorem count-del-same
⊦ count(a, bag -- a) = count(a, bag) - (count(a, bag) = 0 ⊃ 0;1)
Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by:
bag-swap-del
,
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: 1
Proof steps: 5
Used lemmas:
Used spec theorems:
bag-union
/
count-del
Used simplifier rules:
bag-union
/
del-notin
nat
/
sub-base
nat
/
elim-pred-c
nat-basic
/
oz
nat-basic
/
a
nat-basic
/
c
nat
/
add-01
nat-basic
/
add-base