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Theorem mod-succ-01
n ≠ 0 ⊦ m % n + 1 ≠ n → (m + 1) % n = m % n + 1
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
mod-succ-02
,
mod-succ-06
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
mod-mult-01
,
mod-eq-01
,
div-elim
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
f
nat-basic2
/
a
nat-basic2
/
c
nat-basic2
/
succ-03
nat-mult
/
mult-a
nat-mult
/
mult-c