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Theorem mod-neq-03
⊦ n1 < n0 ∧ n0 < n ∧ n1 ≠ 0 → m0 * n + n0 + 1 ≠ m * n + n1
Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by:
Used by units in proved state:
nat-div
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas:
mod-neq-02
,
rsucc-01
,
mult-c
,
mult-a
,
modeq
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
succ
nat-basic1
/
trans-1
nat-basic1
/
lf
nat-basic1
/
f
nat-basic1
/
ref-1
nat
/
lep-02
nat-basic2
/
oz
nat-basic1
/
lf-01
nat-basic2
/
l-06
nat
/
les
nat
/
lels
nat-basic2
/
l-02
nat
/
lels-03
nat-basic1
/
lf-02
nat
/
eqle-one
nat-basic2
/
s
nat-basic1
/
ls-02
nat-basic2
/
a
nat-basic2
/
c