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Theorem range-recend
⊦ m to n = (m < n ⊃ (m < n ⊃ (m to n - 1) ++ (n - 1);∅);∅)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
matrixops
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
range-def
,
Used spec theorems:
set-basic
/
Extension
Used simplifier rules:
nat-basic
/
f
nat
/
fle-01
set-basic
/
add
nat
/
le-def
nat-basic
/
one-01
nat
/
ls
nat
/
lels
nat
/
les
nat
/
eqle-one
nat-basic
/
lf-01
nat
/
add-01
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
set-basic
/
In-empty
set-basic
/
In-insert
nat-basic
/
less-zero
nat
/
elim-pred-c
nat-basic
/
s-04
nat-basic
/
l
nat-basic
/
oz
nat-basic
/
ls-02
nat-basic
/
refl-nat