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Jul
14
answered Action of factor group on a group
Jul
12
answered Adjoint functors requiring a natural bijection
Jul
8
comment Proof completion: if $Y$ is a closed term in strong nf, then $Yx$ weakly reduces to a strong nf $Z$
@RoyO. I'm probably a little rusty, but isn't it true that a reduction of a term has complexity less than the starting term?
Jul
8
answered Proof completion: if $Y$ is a closed term in strong nf, then $Yx$ weakly reduces to a strong nf $Z$
Jul
6
reviewed Approve Torsion free flat module over a discrete valuation ring is Cohen-Macaulay
Jul
4
revised On the category of Sets as an example of an algebraic category
Improved answer
Jul
4
comment On the category of Sets as an example of an algebraic category
@DanaeKissinger Ok, then I think my answer said something about that too, let me edit a little bit to make it clear.
Jul
4
answered On the category of Sets as an example of an algebraic category
Jul
2
awarded  Curious
Jun
25
answered Variables in Types in type theory
Jun
20
comment How do definitions work in Martin-Lof type theory?
Anyway if you have more question I suppose it's better to go in chat :)
Jun
20
comment How do definitions work in Martin-Lof type theory?
Definitions are the rules for the type.
Jun
20
comment How do definitions work in Martin-Lof type theory?
@user18921 Definition of inductive type in a type theory works like the definition of any other type: you state a rule for the introduction of the type (one that state that the constant of language that represent the type is indeed a type) and some constructors, eliminators and computational rules. The only difference is that such rules are required to have a certain format.
Jun
19
answered How do definitions work in Martin-Lof type theory?
Jun
12
comment Types, Sets and Categories
@CristianGarcia $C_0$ is the type, so of course they have all the same type :), at least this is the usual type theoretic definition of category.
Jun
12
answered Typed Category Theory?
Jun
12
comment Using types instead for basic proofs
@ChristianGarcia Are you trying to consider membership as a relations in the proposition as type paradigm?
Jun
12
answered Types, Sets and Categories
Jun
8
awarded  Yearling
May
24
answered Is the collection of dinatural transformations between two functors a category?