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Theorem trans-list
⊦ x < x0 ∧ x0 < x1 → x < x1
Type: A proof obligation
Validity: The proof is valid.
Features: norw,
Comment: |- x < x0 and x0 < x1 -> x < x1
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 11
Proof steps: 26
Used lemmas:
Used spec theorems:
array-listops
/
postfix
array
/
Extension
Used simplifier rules:
nat
/
lels-03
nat
/
elim-sub
nat-basic
/
c
nat-basic
/
a
nat-basic
/
l-01
nat-basic
/
f
nat-basic
/
lf-01
nat-basic
/
succ
nat-basic
/
lf-02
nat-basic
/
trans-nat
nat-basic
/
lf
nat-basic
/
one
nat-basic
/
l
nat-basic
/
l-08
array-copy
/
subarray-at
array-copy
/
size-subarray
nat-basic
/
l-06
nat-basic
/
eq-01