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Theorem Fok-mod-cnt
⊦ Fok(F, P, n0) ∧ n < # P ∧ P[n] = pe(m, m0, m1) → (¬ Fok(F, P[n, pe(m, m0, m2)], n0) ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
REFINEONE-theorem
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 19
Proof steps: 56
Used lemmas:
in-mod-count
,
Fok-def
,
Used spec theorems:
list-del
/partition/
put-rec-02
list-del
/partition/
get-numrec
list-del
/partition/
put-at
Used simplifier rules:
list
/partition/
e-01
list-del
/partition/
put-one
nat-basic1
/
zero-01
nat
/
lez-01
list-data
/partition/
size-01
list
/partition/
app
list-del
/partition/
one-03
nat-basic1
/
one-01
list
/partition/
c
list-del
/partition/
put-zero
nat
/
le-ls-simp
nat
/
not-zero
nat
/
pred-03
nat
/
elim-pred-c
list-data
/partition/
l
nat-basic2
/
s
list
/partition/
len-02
list-del
/partition/
put-length
list
/partition/
len
nat-basic2
/
succ
nat-basic1
/
f
nat-basic1
/
trans-1
nat-basic1
/
lf
nat
/
lez
list-del
/partition/
get-zero-01
nat-basic2
/
oz
nat
/
eqle-one
list
/partition/
a
list-del
/partition/
get-succ
nat-basic2
/
c
nat-basic2
/
a
nat
/
succ-01
nat
/
lels
nat
/
ls-le-simp
nat-basic1
/
lf-02
list-del
/partition/
put-at-eq