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Theorem firstn-prefix
⊦ n ≤ # x → (¬ firstn(n, x) ⊑ x ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
firstn-prefix-02
,
firstn-prefix-03
,
firstn-prefix-04
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 8
Used lemmas:
firstN-zero
,
firstN-rec-01
,
firstN-empty
,
Used spec theorems:
Used simplifier rules:
list-data
/
size-01
nat
/
lez-01
list-last
/
prefix-empty
nat-basic2
/
succ
list
/
len-05
list
/
c
nat
/
lez
list-last
/
prefix-nil
list
/
a
list-last
/
prefix-rec-02
nat
/
pred-03
nat
/
elim-pred-c
nat
/
lep-02
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
oz