Real Vector Spaces and the Cauchy-Schwarz Inequality in ACL2(r)
We present a mechanical proof of the Cauchy-Schwarz inequality in ACL2(r) and a formalisation of the necessary mathematics to undertake such a proof. This includes the formalisation of R^n as an inner product space. We also provide an application of Cauchy-Schwarz by formalising R^n as a metric spac...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Open Publishing Association
2018-10-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1810.04315v1 |