Nuprl Lemma : bind-return-right
∀[Info,T:Type]. ∀[X:EClass(T)]. (X >x> return-class(x) = X ∈ EClass(T))
Proof
Definitions occuring in Statement :
return-class: return-class(x),
bind-class: X >x> Y[x],
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
bind-class: X >x> Y[x],
es-le-before: ≤loc(e),
bag-append: as + bs,
prop: ℙ,
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
return-class: return-class(x),
single-bag: {x},
so_lambda: λ2x.t[x],
so_apply: x[s],
guard: {T},
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
bnot: ¬bb,
assert: ↑b,
false: False,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
top: Top,
squash: ↓T,
true: True
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. (X >x> return-class(x) = X)
Date html generated:
2016_05_16-PM-02_25_40
Last ObjectModification:
2016_01_17-PM-07_36_21
Theory : event-ordering
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