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Theorem eq-neg

⊦ i < 0 → (i * j = i * j0 ↔ j = j0)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: abs-eqneg, mod-neq, modeqp-03,
Used by units in proved state: int-pot, int-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: commutativity, associativity, zero-left, eq-nonzero,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-02