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Theorem size-two-06
⊦ a ∈ s ∧ b ∈ s ∧ a ≠ b → 2 ≤ # s
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: 0
Proof steps: 8
Used lemmas:
size-zero-02
,
Size-insert
,
size-less-01
,
rax
,
In-empty
,
Size-empty
,
gen
,
ne-02
,
ne-01
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
f
nat
/
lels-01
nat
/
lels
nat
/
not-zero
nat
/
fle
nat
/
l-num-05
nat-basic1
/
one-01
nat-basic2
/
a
nat-basic2
/
c
nat-basic1
/
lf-02