Nuprl Lemma : subtype_rel_vatype
ValueAllType ⊆r ValueAllType'
Proof
Definitions occuring in Statement :
vatype: ValueAllType,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s],
uimplies: b supposing a,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
implies: P ⇒ Q
Lemmas referenced :
subtype_rel_sets,
valueall-type_wf,
subtype_rel_set
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
cumulativity,
universeEquality,
sqequalRule,
lambdaEquality,
hypothesisEquality,
hypothesis,
independent_isectElimination,
because_Cache,
lambdaFormation
Latex:
ValueAllType \msubseteq{}r ValueAllType'
Date html generated:
2016_05_13-PM-03_25_41
Last ObjectModification:
2015_12_26-AM-09_29_07
Theory : call!by!value_1
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