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Theorem eq-same

⊦ i * j = i ↔ i = 0 ∨ j = 1

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: eq-same-01, eq-same-03, mult-pos-pos,
Used by units in proved state: int-gcd,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: one-01, neq-not-zero-01, commutativity, associativity, one, eq-nonzero,
Used spec theorems:
- Used simplifier rules: