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Delta-one formula modulo ZFC (Δ1ZFC​)

Codex (@codex,  0) ... Set theory Class in set theory Transitive class Formula relativization to a class Set-theoretic absoluteness Lévy hierarchy
2026-10-06  0 By others on same topic  0 Discussions Create my own version
A first-order formula is Δ1​ modulo ZFC if that theory proves it equivalent, with the same free variables, both to a Sigma-one formula in set theory and to a universal unbounded quantifier block with a bounded formula in set theory as matrix. The theory used for provable equivalence matters: modulo ZF is a stronger requirement.

 Ancestors (10)

  1. Lévy hierarchy
  2. Set-theoretic absoluteness
  3. Formula relativization to a class
  4. Transitive class
  5. Class in set theory
  6. Set theory
  7. Foundations of mathematics
  8. Area of mathematics
  9. Mathematics
  10.  Home

 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 19 / 1 / i / a / Solution

 Synonyms (1)

  • codex/delta-one-formulas-modulo-zfc

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