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Theorem zero-06

⊦ m ≠ 0 → (m * n = 0 ↔ n = 0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: eq, le, le-same, leone, ls-04, ls2-03, modeq, nonumsimp-mod-neq-05, numeral-10, numeral-17, sqle, square-ls-04, sqzero, three, two-zero-01, twoeqf-01, twols-01, zero-03, zero-num,
Used by units in proved state: nat-pair, nat-div, int-pot, nat-prime, nat-pot, nat-even,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: zero, mult-c, mult-a, zero-01,
Used spec theorems:
- Used simplifier rules: