Nuprl Lemma : disjoint-union-tr_wf
[A,B,S:Type]. [tr1:Id 
A S S]. [tr2:Id B S S]. (tr1 + tr2 
Id A + B S S)
Proof not projected
Definitions occuring in Statement :
disjoint-union-tr: tr1 + tr2,
Id: Id,
uall: [x:A]. B[x],
member: t T,
function: x:A B[x],
union: left + right,
universe: Type
Definitions :
uall: [x:A]. B[x],
member: t T,
disjoint-union-tr: tr1 + tr2,
ifthenelse: if b then t else f fi ,
all: x:A. B[x],
implies: P 
Q,
btrue: tt,
assert: 
b,
bfalse: ff,
prop: 
,
bnot: 
b,
true: True,
and: P 
Q,
bool: 
,
unit: Unit,
uimplies: b supposing a,
uiff: uiff(P;Q),
sq_type: SQType(T),
guard: {T},
it: 
Lemmas :
isl_wf,
bool_wf,
eqtt_to_assert,
outl_wf,
uiff_transitivity,
assert_wf,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
outr_wf,
subtype_base_sq,
bool_subtype_base,
Id_wf,
not_assert_elim,
btrue_wf
\mforall{}[A,B,S:Type]. \mforall{}[tr1:Id {}\mrightarrow{} A {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[tr2:Id {}\mrightarrow{} B {}\mrightarrow{} S {}\mrightarrow{} S].
(tr1 + tr2 \mmember{} Id {}\mrightarrow{} A + B {}\mrightarrow{} S {}\mrightarrow{} S)
Date html generated:
2011_10_20-PM-03_39_48
Last ObjectModification:
2011_09_23-PM-08_50_16
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