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Theorem bag-rem-notmax

⊦ m ≠ bag.max → (bag -- m).max = bag.max

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: max-rem-notsame,
Used by units in proved state: ubi-quality-base, ubi-base,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 19
Used lemmas: bag-rem-subseteq, max-subseteq, bag-rem-empty, max-one, max-rec,
Used spec theorems:
- Used simplifier rules:
  - bag-union/nat-bag/del-rec
  - bag-union/nat-bag/del-empty
  - nat-basic/lf-01
  - nat/lels
  - nat/gr-def
  - bag-basic/nat-bag/insert-nonempty
  - nat/fle-01
  - nat-basic/f