{ 
[A:Type]. [B:A 
Type]. [eq:EqDecider(A)]. [f1,g1,f2,g2:a:A fp-> B[a]].
(f1 || g1) supposing (f2 || g2 and g1 
g2 and f1 f2) }
{ Proof }
Definitions occuring in Statement :
fpf-compatible: f || g,
fpf-sub: f g,
fpf: a:A fp-> B[a],
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s],
function: x:A B[x],
universe: Type,
deq: EqDecider(T)
Definitions :
uall: [x:A]. B[x],
so_apply: x[s],
uimplies: b supposing a,
fpf-sub: f g,
fpf-compatible: f || g,
all: x:A. B[x],
implies: P 
Q,
assert: 
b,
cand: A c
B,
and: P Q,
member: t 
T,
prop: 
,
so_lambda: 
x.t[x],
btrue: tt,
ifthenelse: if b then t else f fi ,
true: True,
sq_type: SQType(T),
guard: {T}
Lemmas :
assert_wf,
fpf-dom_wf,
fpf-ap_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
fpf-trivial-subtype-top,
fpf_wf,
deq_wf,
assert_elim
\mforall{}[A:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[f1,g1,f2,g2:a:A fp-> B[a]].
(f1 || g1) supposing (f2 || g2 and g1 \msubseteq{} g2 and f1 \msubseteq{} f2)
Date html generated:
2011_08_10-AM-07_58_17
Last ObjectModification:
2011_06_18-AM-08_18_15
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