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QProduct Prime Limits

QProduct prime-limit certificates add limit, monotonicity, sandwich, and tail arguments on top of finite q-product/product-integral certificates.

Use this page when the statement is not merely a finite product integral, but a prime-limit or limiting q-product theorem.

Recommended import:

import LeanCert.QProduct

The typical workflow is:

exact finite truncation
+ monotonicity or sandwich theorem
+ explicit tail bound
= directed-limit enclosure

LeanCert provides the generic directed-limit verifier and the q-product truncation and tail theorems. The final proof retains only checked finite data and the analytic hypotheses required by those theorems.

Finite product-integral template:

Exact Product-Integral Certificates

Detailed API reference:

QProduct Certificates