Project Page Index Table of Contents

Sierpinski.Basics

  • Sets
  • Classes
  • Axiom of Extensionality
  • Automation
  • Axiom of Empty Set
  • Axiom of Big Union
  • Axiom of Power Set
  • Axiom of Replacement
  • Function Replacement
  • Image
  • Conditional Function Replacement
  • Comprehension
  • Axiom of Well-Foundedness
  • Provisional Unordered Pair
  • Provisional Singleton Set
  • Union
  • Adjunction
  • Explicit Set Notation
  • Indexed Union
  • Indexed Intersection
  • Intersection
  • Set Difference
  • Description
  • Numerals
  • Cartesian Product
  • Disjoint Union
  • Encodings

Sierpinski.Cardinality

  • Bijection
  • Bijection Relation
  • Injection
  • Injection Relation
  • Power Set
  • Cartesian Product
  • Disjoint Union
  • Surjection
  • Small Classes as Sets

Sierpinski.Ordinals

  • Isomorphism
  • Isomorphism Relation
  • Ordinals
  • Ordinals are well-ordered
  • Alternative characterisation
  • Isomoprhic ordinals are equal
  • More on ordinals
  • Encode Relation
  • Transport Relation

Sierpinski.Hartogs

Sierpinski.Sierpinski

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