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Theorem mult-pos-02

⊦ mkDecimal(0, 0) ≤ dec_i ∧ mkDecimal(0, 0) ≤ dec_j → ¬ dec_i * dec_j < mkDecimal(0, 0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: ls-zero-01, mult-def-any, le-zero, ls-le-trans,
Used spec theorems:
- Used simplifier rules: