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Theorem put-zero
⊦ (b + x)[0 := a] = a + x
Type: A proof obligation
Validity: The proof is valid.
Features: norw,
Comment: |- (b + x)[0 := a] = a + x
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 21
Used lemmas:
size-add
,
Used spec theorems:
array-listops
/
cons
array
/
Extension
array-copy
/
at-copy
array
/
Put-other
Used simplifier rules:
array
/
cputput
nat-basic
/
c
nat-basic
/
a
nat-basic
/
s-04
array
/
Size-mkarray
array-copy
/
size-copy
array
/
Size-put
array
/
cgetput
nat-basic
/
oz
nat-basic
/
zero
nat-basic
/
less-zero
nat-basic
/
eq-01
array
/
Put-other
nat
/
lels
nat-basic
/
succ
nat
/
le-ls-simp
nat-basic
/
add-base
nat
/
succ-01
nat-basic
/
one-01
nat
/
elim-pred-c
nat-basic
/
f
nat-basic
/
z-01
nat-basic
/
nls-fst
nat
/
lep-02
nat
/
ls-le-simp
nat
/
add-01
nat-basic
/
l