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Theorem ks-RED1
⊦ 〈RED1(ks(n); tn)〉 ((tn = none → n ≤ 1) ∧ (tn ≠ none → ¬ n ≤ 1 ∧ tn = some(ks(n - 2))))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
ks-RED
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 78
Used lemmas:
decl-04
,
decl-01
,
Used spec theorems:
termfuns
/
ks-rec-01
Used simplifier rules:
value
/
val-K-ap
nat-basic1
/
twols-01
nat
/
add-num-03
nat-basic2
/
one
nat
/
add-01
nat
/
elim-sub
term_or_none
/
sel
nat-basic1
/
one
nat
/
lels-01
termfuns
/
ks-not-S-01
term
/
disj-01
termfuns
/
ks-K-01
term
/
elim
nat
/
one-02
term_or_none
/
inj
value
/
val-K
term
/
sel-01
term
/
test-03
term
/
sel-02
term_or_none
/
disj
nat
/
le-add
nat-basic2
/
c
nat-basic2
/
a
termfuns
/
ks-rec
nat-basic2
/
succ
term
/
test-02
termfuns
/
ks-zero