{ 
[A:Type]. [B:A 
Type]. [eq:EqDecider(A)]. [f,g:a:A fp-> B[a]].
{f 
f 
g 
g f g} supposing f || g }
{ Proof }
Definitions occuring in Statement :
fpf-join: f g,
fpf-compatible: f || g,
fpf-sub: f g,
fpf: a:A fp-> B[a],
uimplies: b supposing a,
uall: [x:A]. B[x],
guard: {T},
so_apply: x[s],
and: P Q,
function: x:A B[x],
universe: Type,
deq: EqDecider(T)
Definitions :
uall: [x:A]. B[x],
so_apply: x[s],
uimplies: b supposing a,
guard: {T},
and: P Q,
fpf-sub: f g,
member: t 
T,
so_lambda: 
x.t[x],
all: x:A. B[x],
implies: P 
Q,
cand: A c B,
prop: 
Lemmas :
fpf-sub-join-right,
pair_wf,
assert_wf,
fpf-dom_wf,
fpf-join_wf,
top_wf,
fpf-trivial-subtype-top,
assert_witness,
fpf-compatible_wf,
fpf_wf,
deq_wf,
fpf-sub-join-left
\mforall{}[A:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[f,g:a:A fp-> B[a]].
\{f \msubseteq{} f \moplus{} g \mwedge{} g \msubseteq{} f \moplus{} g\} supposing f || g
Date html generated:
2011_08_10-AM-08_00_36
Last ObjectModification:
2011_06_18-AM-08_19_33
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