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Theorem inf-neg-sup

⊦ bounded≥(rset) → inf(rset) = ~ sup(λ r. rset(0.r + ~ r))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 17
Proof steps: 39
Used lemmas: sup-upperbound, inf-highest-lowerbound, inf-lowerbound, upperbound-def, boundedle-def, sup-lowest-upperbound, lowerbound-def, boundedge-def,
Used spec theorems:
- Used simplifier rules: