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Theorem two-loup-08
⊦ m < n ∧ n < n0 → (m + n) / 2 < n0
Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas:
div-elim
,
two-ls-02
,
two-zero-01-01
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
z
nat-basic2
/
one
nat-basic1
/
trans-1
nat
/
lels
nat-basic2
/
succ
nat-basic1
/
trans
nat
/
fle
nat-basic1
/
twols-02
nat-mult
/
twoeqf-03
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic2
/
a
nat-basic2
/
c
nat-basic1
/
f
nat-basic2
/
l-05
nat-basic2
/
z
nat-mult
/
twoeqf-01
nat-mult
/
two-zero-01
nat-basic1
/
ls-02