Nuprl Lemma : fpf-join-domain
∀[A:Type]. ∀f,g:a:A fp-> Top. ∀eq:EqDecider(A). fpf-domain(f ⊕ g) ⊆ fpf-domain(f) @ fpf-domain(g)
Proof
Definitions occuring in Statement :
fpf-join: f ⊕ g,
fpf-domain: fpf-domain(f),
fpf: a:A fp-> B[a],
deq: EqDecider(T),
l_contains: A ⊆ B,
append: as @ bs,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
universe: Type
Lemmas :
l_all_iff,
fpf-domain_wf,
fpf-join_wf,
top_wf,
l_member_wf,
append_wf,
member_append,
or_wf,
fpf-domain-join,
all_wf,
deq_wf,
fpf_wf
\mforall{}[A:Type]. \mforall{}f,g:a:A fp-> Top. \mforall{}eq:EqDecider(A). fpf-domain(f \moplus{} g) \msubseteq{} fpf-domain(f) @ fpf-domain(g)
Date html generated:
2015_07_17-AM-09_19_53
Last ObjectModification:
2015_01_28-AM-07_48_51
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