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Theorem div-mult-to-diff-mod
⊦ n ≠ 0 → m / n * n = m - m % n
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
aligndown-sub-add-sub
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas:
Used spec theorems:
nat-div
/
mod-rew
Used simplifier rules:
nat
/
elim-sub
nat-div
/
mod-le
nat-div
/
cond
nat-mult
/
mult-a
nat-mult
/
mult-c
nat
/
eq-02
nat-basic
/
eq-01
nat-basic
/
a
nat-basic
/
c