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This PR formalizes shifts of sequential diagrams, morphisms of sequential diagrams, cocones of sequential diagrams, homotopies of cocones of sequential diagrams, and unshifts of the last two. This machinery is...

documentation
synthetic-homotopy-theory

In this PR I refactor the definitions of spans, morphisms of spans, and equivalences of spans (previously called homotopies of spans), and I will work on a better integration of...

documentation
synthetic-homotopy-theory
refactoring

Defines `Y`-null maps, `Y`-null types and `Y`-null type families, and establishes a few basic properties of these. Also formalizes the fiber condition for orthogonal maps. Part of #930. Depends on...

orthogonal-factorization-systems

Coherence triangles take arguments in the order `left -> right -> top`, but I would assume, given how other coherence diagrams take arguments in the order left-to-right top-to-bottom, that they...

refactoring

Progress on #930. Depends on #1042.

orthogonal-factorization-systems

I already formalized and documented parts of the paper. I'm assigning myself, because I would like to include this formalization effort in my master's thesis.

synthetic-homotopy-theory
formalization-target

The competing conventions are as follows: 1. use special binary operators taking values in types: `_⇔_ : Prop → Prop → UU` 2. use special binary operators taking values in...

improve naming
logic

In this pull request I am testing out whether it is sensible to let isomorphisms be a property in a uniformly defined manner across the library. Note: these changes are...

question
category-theory
improve naming
experiment

Create a `logic` namespace, and move the appropriate modules there.

refactoring
logic

### Goals - [ ] Change definition names that use `UU` to use `Type` - [ ] Rename `UU` to `Type` - [ ] Rename `UUω` to `Large-Type`

improve naming