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Theorem prefixn
⊦ prefixn(n, x) = (n ≤ # x ⊃ firstn(n, x);x)
Type: An axiom
Validity: The proof is valid.
Features: ls,
Comment:
Used by:
in-prefixn-at-smaller
,
in-prefixn-in-shorter-prefix
,
in-prefixn-pos-smaller
,
in-prefixn-pos-smaller0
,
in-prefixn-samepos
,
isprefix-add-prefixn-size
,
isprefix-app-prefixn-isprefix
,
isprefix-prefixn
,
prefix-prefixn-exact
,
prefix-prefixn-not-shorter
,
prefix-prefixn-same
,
prefixn-0
,
prefixn-append-left
,
prefixn-append-prefix
,
prefixn-append-slice
,
prefixn-butlast
,
prefixn-empty
,
prefixn-eq-append
,
prefixn-eq-empty
,
prefixn-eq-prefixn-app
,
prefixn-full
,
prefixn-full-eq
,
prefixn-fulln
,
prefixn-in
,
prefixn-le-eq
,
prefixn-le-size
,
prefixn-len-le-n
,
prefixn-len-n
,
prefixn-neq-empty-plusone
,
prefixn-nodups
,
prefixn-notin
,
prefixn-prefixn
,
prefixn-prepend-one
,
prefixn-shift-right
,
prefixn-single-1
,
prefixn-size-eq
,
prefixn-size-prefixn
,
prefixn-split-dropn
,
prefixn-split-sublist
,
Used by units in proved state:
Proof exists?: No