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Proof step 2 from proof congmod-def-mod (
previous step
)
0 < j ⊦ ≡mod(i, i0, j) ↔ i |%| j = i0 |%| j
User applied rule insert rewrite lemma
And obtained the following new goals
Proof step 3
:
⊦ ≡mod(i, i0, j) ↔ j | abs(i - i0)
Proof step 4
:
0 < j ⊦ j | abs(i - i0) ↔ i |%| j = i0 |%| j
Rule argument
spec: int-mod inst: name: congmod-def seq: ⊦ ≡mod(i, i0, j) ↔ j | abs(i - i0) subst: [j, i0, i] → [j, i0, i] flags: rewrite, current
Additional information
Used terms: j, i0, i