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Theorem zero

⊦ r < 0.r ∧ r0 < 0.r → r + r0 ≠ 0.r

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: zero-01, zero-07,
Used by units in proved state: real-abs, int-abs,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: irref, trans, add-comm, add-assoc, add-zero, pls,
Used spec theorems:
- Used simplifier rules: