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2022-01-06
I: 5: c: show being epic and mono is not sufficient to be iso
HEAD
master
Chloe Brown
2022-01-06
I: 5: b: characterise epimorphisms of OfPreorder
Chloe Brown
2022-01-06
I: 5: a: characterise epimorphisms of Setoids
Chloe Brown
Note that whilst the decidability argument might look suspicious, it can be provided trivially assuming the law of excluded middle.
2022-01-06
misc: move contradiction example to exercises
Chloe Brown
2022-01-05
I: 4: f: characterise monomorphisms of OfPreorder
Chloe Brown
2022-01-05
misc: define OfPreorder category
Chloe Brown
2022-01-05
I: 4: e: show retracts are not unique for Setoids
Chloe Brown
2022-01-05
I: 4: d: demonstrate injections are exactly monomorphisms in Setoids
i-4-b-2
Chloe Brown
2022-01-05
I: 4: c: show monomorphisms decompose
Chloe Brown
2022-01-05
I: 4: b: show monomorphisms compose
Chloe Brown
2022-01-05
I: 4: a: prove retract hierarchy
Chloe Brown
2022-01-05
I: 2: b: show isomorphisms decompose
I-2-c
Chloe Brown
2022-01-05
I: 2: a: show isomorphisms compose
i-1-c
Chloe Brown
2022-01-05
I: 1: b: show ≡ ≇ ≤ in Preorders
Chloe Brown
2022-01-05
misc: instance: define Preorders
Chloe Brown
2022-01-05
I: 1: a: show 2 ≇ 3 in Setoids
Chloe Brown
2022-01-05
Initial commit.
Chloe Brown