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Theorem num-distr-addboth-le1

⊦ i ≤ j → ((* i).r * r + r0 ≤ (* j).r * r + r1 ↔ r0 ≤ (j - i).r * r + r1)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: two-le, two-le-01, two-le-02, two-le-03, two-le-04,
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: mult-com, mult-ass, distr,
Used spec theorems:
- real-basic/eqint-add
Used simplifier rules: