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Theorem eq-nonzero

⊦ i ≠ 0 → (i * j = i * j0 ↔ j = j0)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: eq-neg, eq-nonzero-01, eq-nonzero-02, eq-nonzero-03, eq-pos, eq-same, two-eq, zero-eq,
Used by units in proved state: int-pot, int-gcd, int-div, int-square,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 15
Used lemmas: ls-pos, commutativity, associativity, ls-neg,
Used spec theorems:
- Used simplifier rules: