Mercurial > hg > Members > kono > Proof > category
comparison freyd2.agda @ 690:3d41a8edbf63
fix universal mapping done.
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Sun, 12 Nov 2017 01:29:47 +0900 |
parents | fb9fc9652c04 |
children | 917e51be9bbf |
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689:fb9fc9652c04 | 690:3d41a8edbf63 |
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403 g | 403 g |
404 ∎ where | 404 ∎ where |
405 comm1 : B [ B [ FMap U g o hom (i a) ] ≈ B [ B [ FMap U g o tmap-η a ] o FMap (K B A a) g ] ] | 405 comm1 : B [ B [ FMap U g o hom (i a) ] ≈ B [ B [ FMap U g o tmap-η a ] o FMap (K B A a) g ] ] |
406 comm1 = let open ≈-Reasoning B in sym idR | 406 comm1 = let open ≈-Reasoning B in sym idR |
407 | 407 |
408 UM : UniversalMapping B A U (λ b → obj (i b)) (tmap-η) | 408 UM : UniversalMapping B A U |
409 UM = record { | 409 UM = record { |
410 F = λ b → obj (i b) ; | |
411 η = tmap-η ; | |
410 _* = λ f → arrow (solution f) ; | 412 _* = λ f → arrow (solution f) ; |
411 isUniversalMapping = record { | 413 isUniversalMapping = record { |
412 universalMapping = λ {a} {b} {f} → univ f ; | 414 universalMapping = λ {a} {b} {f} → univ f ; |
413 uniquness = unique | 415 uniquness = unique |
414 }} | 416 }} |