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Theorem ocs-same-length-all
⊦ #oc(a, x) = # x ↔ (∀ b. b ∈ x → b = a)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 11
Used lemmas:
ocs-same-length-mklist
,
Used spec theorems:
list-last
/
mk-rec
list
/
c-06
Used simplifier rules:
list-data
/
size-01
list-last
/
mk-zero
list
/
in-empty
list
/
in-rec
list
/
a
nat-basic2
/
succ
list
/
len-05
nat-basic2
/
z-01
nat-basic2
/
oz
list
/
c
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
add-base
nat
/
add-01