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Theorem modls-03
⊦ n2 < n ∧ m1 < m ∧ n1 < n → m1 * n + n1 < m * n + n2
Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by:
mod-nle
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas:
one
,
dist
,
ls-08
,
mult-c
,
mult-a
,
mult-base
,
Used spec theorems:
Used simplifier rules:
nat
/
lels
nat-basic2
/
add-base
nat-basic1
/
zero
nat
/
fle-01
nat-basic2
/
succ
nat
/
ls
nat-basic1
/
f
nat-basic1
/
one-01
nat
/
lels-01
nat
/
pred-03
nat-basic2
/
oz
nat-basic2
/
a
nat-basic2
/
c
nat-basic2
/
l
nat
/
lep-02
nat
/
ls-le-simp
nat
/
l-num-06
nat
/
elim-pred-c