Skip to content

Equivalent characterizations of sets #175

Description

@emilyriehl

A recent PR includes the following definition of sets.

#def is-set
  ( A : U)
  : U
  := (x : A) → (y : A) → (p : x = y) → (q : x = y) → p = q

Apply the equivalence of various characterizations or propositions to prove that is-set is equivalent to is-0-type, which is yet to be defined, but could be defined here as a placeholder.

Activity

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Metadata

Metadata

Assignees

No one assigned

    Type

    No type

    Projects

    No projects

      Milestone

      No milestone

      Relationships

      None yet

      Development

      No branches or pull requests

      Issue actions