Proof of `The ceiling imposed by two disagreeing annotators` (1st statement)

groundedproofs/Lax303562Proofs/AnnotatorCeiling.lean · lax-303562

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

tpAatpA ≤ a, tpBmtpB ≤ m and a<ba < b give tpA+tpB<m+(a+b)/2tpA + tpB < m + (a + b)/2 with margin (ba)/2(b − a)/2.