遺看援の巷尖

Apr 23, 2016Download as pptx, pdf

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Masaki Hara

遺看援の巷尖について

侏システムと巷尖狼
Coqの侏システム (CIC/pCIC)
�屎�晒來により
屎輝晒
遺看援の巷尖狼
鹿栽モデルにより
屎輝晒
HoTTの巷尖狼
±-��蛤モデルにより
屎輝晒
�I羨しない

遺看援の巷尖
揖匯來
2つの�､陵�姉圓�
隠�^する。
��撹
採らかの�､隆耡擇�
隠�^する。
硬灸�尖 �x�k �峰
寔�里忙銈鼎�
2�kの戻工
贋壓するものを
鹿める
Coqの�として
��韻�

揖匯來の巷尖
�v方の翌决來
光泣で吉しい�v方は吉しい
FunctionalExtensionality.functional_extensionality
凋�}の翌决來
揖�､蔽黑}は吉しい
��鬉垢觜�蹐覆�
Coq.Sets.Ensembles.Extensionality_Ensembles の｢�Y
�^苧掲卆贋來
�^苧は曝�eできない
ProofIrrelevance.proof_irreleavance
JM揖�ﾐ�
鹿栽�gの揖�ﾐ圓呂燭�1つ
JMeq.JMeq_eq

�､��さ
??, ??, ? ?, ?
??, ?! ?, ? ?, ?
??, ? ? ?, ? ? ??, ? ?, ? ?
??, ??, ? ?, ? ?
光泣での贋壓のみ。
光泣での匯吭贋壓。
匯��に贋壓。
醤悶議な�。醤悶議な�。

匯吭�x�k
??, ??, ? ?, ?
??, ?! ?, ? ?, ?
??, ? ? ?, ? ? ??, ? ?, ? ?
??, ??, ? ?, ? ?
光泣での贋壓のみ。
光泣での匯吭贋壓。
匯��に贋壓。
醤悶議な�。醤悶議な�。
匯吭�x�k
光泣で匯吭贋壓するなら匯��に贋壓
ClassicalUniqueChoice.unique_choice

�x�k
??, ??, ? ?, ?
??, ?! ?, ? ?, ?
??, ? ? ?, ? ? ??, ? ?, ? ?
??, ??, ? ?, ? ?
光泣での贋壓のみ。
光泣での匯吭贋壓。
匯��に贋壓。
醤悶議な�。醤悶議な�。
�x�k
光泣で贋壓するなら匯��に贋壓
ClassicalChoice.choice

�v�S�x�k
??, ??, ? ?, ?
??, ?! ?, ? ?, ?
??, ? ? ?, ? ? ??, ? ?, ? ?
??, ??, ? ?, ? ?
光泣での贋壓のみ。
光泣での匯吭贋壓。
匯��に贋壓。
醤悶議な�。醤悶議な�。
�v�S�x�k
光泣での贋壓を匯吭贋壓に�gれる
RelationalChoice.relational_choice

�峰
??, ??, ? ?, ?
??, ?! ?, ? ?, ?
??, ? ? ?, ? ? ??, ? ?, ? ?
??, ??, ? ?, ? ?
光泣での贋壓のみ。
光泣での匯吭贋壓。
匯��に贋壓。
醤悶議な�。醤悶議な�。
�峰
光泣での匯吭贋壓を醤悶議な�に
Description.constructive_definite_description

音協�峰
??, ??, ? ?, ?
??, ?! ?, ? ?, ?
??, ? ? ?, ? ? ??, ? ?, ? ?
??, ??, ? ?, ? ?
光泣での贋壓のみ。
光泣での匯吭贋壓。
匯��に贋壓。
醤悶議な�。醤悶議な�。
音協�峰
光泣での贋壓を醤悶議な�に
IndefiniteDescription.constructive_indefinite_description

硬灸�尖
硬灸�尖
凋�}の寔�里��老屬韻垢誑^苧
Classical.classic
秤�鵑弔㌧砥仟�
凋�}の寔�里��老屬韻垢��撹
��鬉垢觜�蹐覆�
ClassicalDescription.excluded_middle_informative

掲硬灸�尖のもとでの音協�峰
音協�峰
光泣での贋壓を醤悶議な�に
IndefiniteDescription.constructive_indefinite_description
ヒルベルトの?
仝焼��離僖薀疋奪�后腔猷散��峰
Epsilon.epsilon_statement
掲硬灸�尖では音協�峰より�い

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遺看援の巷尖

1. 遺看援の巷尖 Masaki Hara (qnighy) 2016/04/23

2. 侏システムと巷尖狼 Coqの侏システム (CIC/pCIC) �屎�晒來により屎輝晒遺看援の巷尖狼鹿栽モデルにより屎輝晒 HoTTの巷尖狼 ±-��蛤モデルにより屎輝晒 �I羨しない

3. 遺看援の巷尖揖匯來 2つの�､陵�姉圓� 隠�^する。 ��撹採らかの�､隆耡擇� 隠�^する。硬灸�尖 �x�k �峰寔�里忙銈鼎� 2�kの戻工贋壓するものを鹿める Coqの�として ��韻�

4. 揖匯來の巷尖 �v方の翌决來光泣で吉しい�v方は吉しい FunctionalExtensionality.functional_extensionality 凋�}の翌决來揖�､蔽黑}は吉しい ��鬉垢觜�蹐覆� Coq.Sets.Ensembles.Extensionality_Ensembles の｢�Y �^苧掲卆贋來 �^苧は曝�eできない ProofIrrelevance.proof_irreleavance JM揖�ﾐ� 鹿栽�gの揖�ﾐ圓呂燭�1つ JMeq.JMeq_eq

5. �､��さ ??, ??, ? ?, ? ??, ?! ?, ? ?, ? ??, ? ? ?, ? ? ??, ? ?, ? ? ??, ??, ? ?, ? ? 光泣での贋壓のみ。光泣での匯吭贋壓。匯��に贋壓。醤悶議な�。醤悶議な�。

6. 匯吭�x�k ??, ??, ? ?, ? ??, ?! ?, ? ?, ? ??, ? ? ?, ? ? ??, ? ?, ? ? ??, ??, ? ?, ? ? 光泣での贋壓のみ。光泣での匯吭贋壓。匯��に贋壓。醤悶議な�。醤悶議な�。匯吭�x�k 光泣で匯吭贋壓するなら匯��に贋壓 ClassicalUniqueChoice.unique_choice

7. �x�k ??, ??, ? ?, ? ??, ?! ?, ? ?, ? ??, ? ? ?, ? ? ??, ? ?, ? ? ??, ??, ? ?, ? ? 光泣での贋壓のみ。光泣での匯吭贋壓。匯��に贋壓。醤悶議な�。醤悶議な�。 �x�k 光泣で贋壓するなら匯��に贋壓 ClassicalChoice.choice

8. �v�S�x�k ??, ??, ? ?, ? ??, ?! ?, ? ?, ? ??, ? ? ?, ? ? ??, ? ?, ? ? ??, ??, ? ?, ? ? 光泣での贋壓のみ。光泣での匯吭贋壓。匯��に贋壓。醤悶議な�。醤悶議な�。 �v�S�x�k 光泣での贋壓を匯吭贋壓に�gれる RelationalChoice.relational_choice

9. �峰 ??, ??, ? ?, ? ??, ?! ?, ? ?, ? ??, ? ? ?, ? ? ??, ? ?, ? ? ??, ??, ? ?, ? ? 光泣での贋壓のみ。光泣での匯吭贋壓。匯��に贋壓。醤悶議な�。醤悶議な�。 �峰光泣での匯吭贋壓を醤悶議な�に Description.constructive_definite_description

10. 音協�峰 ??, ??, ? ?, ? ??, ?! ?, ? ?, ? ??, ? ? ?, ? ? ??, ? ?, ? ? ??, ??, ? ?, ? ? 光泣での贋壓のみ。光泣での匯吭贋壓。匯��に贋壓。醤悶議な�。醤悶議な�。音協�峰光泣での贋壓を醤悶議な�に IndefiniteDescription.constructive_indefinite_description

11. 硬灸�尖硬灸�尖凋�}の寔�里��老屬韻垢誑^苧 Classical.classic 秤�鵑弔㌧砥仟� 凋�}の寔�里��老屬韻垢��撹 ��鬉垢觜�蹐覆� ClassicalDescription.excluded_middle_informative

12. 掲硬灸�尖のもとでの音協�峰音協�峰光泣での贋壓を醤悶議な�に IndefiniteDescription.constructive_indefinite_description ヒルベルトの? 仝焼��離僖薀疋奪�后腔猷散��峰 Epsilon.epsilon_statement 掲硬灸�尖では音協�峰より�い

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遺看援の巷尖

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遺看援の巷尖