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