quest1 prepped with solutions added

This commit is contained in:
Jlh18 2021-09-28 14:40:40 +01:00
parent d0dd1d79f1
commit ddfecdd209
3 changed files with 23 additions and 7 deletions

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@ -7,13 +7,10 @@ open import 1FundamentalGroup.Preambles.P1
Ω A a = a a Ω A a = a a
loop_times : Ω base loop_times : Ω base
loop pos zero times = refl loop n times = {!!}
loop pos (suc n) times = loop pos n times loop
loop negsuc zero times = sym loop
loop negsuc (suc n) times = loop negsuc n times sym loop
¬isSetS¹ : isSet ¬isSetS¹ : isSet
¬isSetS¹ h = Refl≢loop (h base base Refl loop) ¬isSetS¹ = {!!}
¬isPropS¹ : isProp ¬isPropS¹ : isProp
¬isPropS¹ h = ¬isSetS¹ (isProp→isSet h) ¬isPropS¹ = {!!}

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@ -0,0 +1,19 @@
-- ignore
module 1FundamentalGroup.Quest1Solutions where
open import 1FundamentalGroup.Preambles.P1
Ω : (A : Type) (a : A) Type
Ω A a = a a
loop_times : Ω base
loop pos zero times = refl
loop pos (suc n) times = loop pos n times loop
loop negsuc zero times = sym loop
loop negsuc (suc n) times = loop negsuc n times sym loop
¬isSetS¹ : isSet
¬isSetS¹ h = Refl≢loop (h base base Refl loop)
¬isPropS¹ : isProp
¬isPropS¹ h = ¬isSetS¹ (isProp→isSet h)