Lax Lean Archive

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Proof of `Properties of the lower integral` (2nd statement)

groundedproofs/Lax606786Proofs/Kingman/Truncate.lean · lax-606786

What this proof establishes

no assumptions

thm✓Lax606786.LowerIntegralProperties (2nd statement)

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 GitLab

Description

The lower integral is an infimum, bounded by the real-valued truncated integral at level 00.