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Theorem le-add-01

⊦ i + j ≤ i0 ∧ j ≥ 0 ∧ j0 ≥ 0 → i - j0 ≤ i0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: sub-le, ge-def, le-def,
Used spec theorems:
- int-basic2/pls-02
- int-basic2/pls-04
Used simplifier rules: