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Theorem isprefix-prefixn
⊦ x0 ⊑ x1 → (x0 = prefixn(n, x1) ↔ n = # x0 ∨ n > # x0 ∧ x0 = x1)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas:
prefixn
,
Used spec theorems:
Used simplifier rules:
list-del
/
first-length
list-last
/
prefix-self
nat
/
ls-le-simp
nat
/
gr-def
nat
/
le-def
nat-basic
/
f
nat-basic
/
lf-01
list-data
/
l
list-last
/
prefix-longer-01
nat
/
le-ls-simp
list-del
/
firstn-allprefix