Math 2.0

Proposition

First-order theories with identity

Statement

A first-order theory 𝒬𝒮\mathcal{QS} is a first-order theory with identity if 𝒬𝒮\mathcal{QS} includes the identity relation symbol "=" and the reflexivity and substitution axiom schemes for this symbol.

Further reading

  1. Wikipedia, page 3512103, revision 1374090027, Theory (mathematical logic), section First-order theories > First-order theories with identity. adopted
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Changed4 November 2026

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