"modulo" meaning in context of Formal Methods.

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I am a beginner in the field of Formal Methods in Computer Science.

In the literature, I often encounter phrases, such as "... modulo equation theory".

Example are:

  1. SMT solver -- "Satisfiability Modulo Theory"

  2. Tamarin Verifier -- Many papers including this one states -- "Proofs are constructed using backward search with support for reasoning modulo equational theories."

What does the term "Modulo" mean in the above context?

The only meaning of modulo that I know of is in the context of integer division and the remainder.