Nuprl Lemma : eclass-disju-program_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[xpr:LocalClass(X)]. ∀[ypr:LocalClass(Y)].
(xpr + ypr ∈ LocalClass(X + Y)) supposing (valueall-type(A) and valueall-type(B))
Proof
Definitions occuring in Statement :
eclass-disju-program: xpr + ypr,
eclass-disju: X + Y,
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
union: left + right,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
eclass-disju-program: xpr + ypr,
eclass-disju: X + Y,
implies: P ⇒ Q,
prop: ℙ,
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[xpr:LocalClass(X)]. \mforall{}[ypr:LocalClass(Y)].
(xpr + ypr \mmember{} LocalClass(X + Y)) supposing (valueall-type(A) and valueall-type(B))
Date html generated:
2016_05_17-AM-09_09_32
Last ObjectModification:
2015_12_29-PM-03_35_12
Theory : local!classes
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