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Theorem mkbag-update

m < # A ⊦ m < n → mkbag(A[m, a], n) = (mkbag(A, n) -- A[m]) ++ a

Type: A user defined theorem
Validity: The proof is valid.
Features: ls, localcut,
Comment:
Used by: perm-shift-one, perm-shift-two, perm-swap,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 13
Used lemmas: bag-del-add, index-in-mkbag, mkbag-update-out-of-bound, mkbag-rec, mkbag-base,
Used spec theorems:
- array/Put-other
Used simplifier rules: