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Theorem sum-of-differences-in

⊦ m ∈ bag → sum-of-differences(n, bag) ≥ n - m

Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by: in-delta, sum-of-differences-rem,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: sum-of-differences-rec,
Used spec theorems:
- bag-max/in-rec
Used simplifier rules:
- nat-basic/f
- nat/le-def
- nat/ge
- bag-union/nat-bag/in-emp
- nat-basic/l-02
- nat-basic/nls-fst
- nat-basic/a
- nat-basic/c