Nuprl Lemma : fpf-single-dom
∀[A:Type]. ∀[eq:EqDecider(A)]. ∀[x,y:A]. ∀[v:Top]. uiff(↑x ∈ dom(y : v);x = y ∈ A)
Proof
Definitions occuring in Statement :
fpf-single: x : v,
fpf-dom: x ∈ dom(f),
deq: EqDecider(T),
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
top: Top,
universe: Type,
equal: s = t ∈ T
Lemmas :
assert_wf,
bor_wf,
eqof_wf,
bfalse_wf,
or_wf,
equal_wf,
false_wf,
uiff_wf,
deq_member_cons_lemma,
deq_member_nil_lemma,
iff_transitivity,
iff_weakening_uiff,
assert_of_bor,
safe-assert-deq,
assert_witness
\mforall{}[A:Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[x,y:A]. \mforall{}[v:Top]. uiff(\muparrow{}x \mmember{} dom(y : v);x = y)
Date html generated:
2015_07_17-AM-11_12_43
Last ObjectModification:
2015_01_28-AM-07_41_33
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