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Theorem mod-succ-05
n ≠ 0 ⊦ m % n < m0 → ¬ m0 < (m + 1) % n
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
mod-succ-06
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
l
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
succ
nat-basic1
/
trans-1
nat-basic1
/
lf
nat-basic1
/
f