Nuprl Lemma : no_repeats-pairs-fpf
∀[A,B:Type]. ∀[eq1:EqDecider(A)]. ∀[eq2:EqDecider(B)]. ∀[L:(A × B) List]. no_repeats(A;fpf-domain(fpf(L)))
Proof
Definitions occuring in Statement :
pairs-fpf: fpf(L),
fpf-domain: fpf-domain(f),
deq: EqDecider(T),
no_repeats: no_repeats(T;l),
list: T List,
uall: ∀[x:A]. B[x],
product: x:A × B[x],
universe: Type
Lemmas :
pairs-fpf_property,
no_repeats_witness,
fpf-domain_wf,
pairs-fpf_wf,
subtype-fpf2,
top_wf,
subtype_top,
list_wf,
deq_wf
\mforall{}[A,B:Type]. \mforall{}[eq1:EqDecider(A)]. \mforall{}[eq2:EqDecider(B)]. \mforall{}[L:(A \mtimes{} B) List].
no\_repeats(A;fpf-domain(fpf(L)))
Date html generated:
2015_07_17-AM-11_16_38
Last ObjectModification:
2015_01_28-AM-07_37_51
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