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Theorem abs-le-succ

⊦ abs(i + 1) ≤ abs(i) ↔ i < 0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: succ-02, numlelsdel, numls-03, sub-sub-03, sub-zero, sub-le, num-subadd, sub-sub, Minus-def, abs-08, abs-05, le-def, Abs-pos,
Used spec theorems:
- Used simplifier rules: