Nuprl Lemma : es-interface-image-trivial
∀[Info,A:Type]. ∀[X:EClass(A)]. (λx.x'X = X ∈ EClass(A))
Proof
Definitions occuring in Statement :
es-interface-image: f'Ia,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
lambda: λx.A[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-interface-image: f'Ia,
eclass: EClass(A[eo; e]),
eclass-compose1: f o X,
uimplies: b supposing a,
all: ∀x:A. B[x],
guard: {T},
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. (\mlambda{}x.x'X = X)
Date html generated:
2016_05_16-PM-10_27_00
Last ObjectModification:
2015_12_29-AM-11_06_57
Theory : event-ordering
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