Nuprl Lemma : lifting-callbyvalueall-pair
∀[a,b,B:Top]. (let x ⟵ <a, b> in B[x] ~ let x ⟵ a in let y ⟵ b in B[<x, y>])
Proof
Definitions occuring in Statement :
callbyvalueall: callbyvalueall,
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
pair: <a, b>,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
callbyvalueall: callbyvalueall,
evalall: evalall(t),
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
has-value: (a)↓,
prop: ℙ
Lemmas referenced :
has-value_wf_base,
is-exception_wf,
equal_wf,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
isect_memberEquality,
voidElimination,
voidEquality,
thin,
because_Cache,
lambdaFormation,
sqequalSqle,
sqleRule,
divergentSqle,
callbyvalueCallbyvalue,
sqequalHypSubstitution,
hypothesis,
callbyvalueReduce,
sqleReflexivity,
extract_by_obid,
isectElimination,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
callbyvalueExceptionCases,
axiomSqleEquality,
exceptionSqequal,
equalityTransitivity,
equalitySymmetry,
dependent_functionElimination,
independent_functionElimination,
sqequalAxiom
Latex:
\mforall{}[a,b,B:Top]. (let x \mleftarrow{}{} <a, b> in B[x] \msim{} let x \mleftarrow{}{} a in let y \mleftarrow{}{} b in B[<x, y>])
Date html generated:
2017_04_14-AM-07_35_26
Last ObjectModification:
2017_02_27-PM-03_08_18
Theory : fun_1
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