Nuprl Lemma : strict4-ispair
strict4(λx,y,z,w. if x is a pair then y otherwise z)
Proof
Definitions occuring in Statement :
strict4: strict4(F),
ispair: if z is a pair then a otherwise b,
lambda: λx.A[x]
Definitions unfolded in proof :
strict4: strict4(F),
and: P ∧ Q,
all: ∀x:A. B[x],
implies: P ⇒ Q,
has-value: (a)↓,
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ,
guard: {T},
or: P ∨ Q,
squash: ↓T
Lemmas referenced :
is-exception_wf,
base_wf,
has-value_wf_base
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
independent_pairFormation,
lambdaFormation,
sqequalRule,
cut,
callbyvalueIspair,
sqequalHypSubstitution,
hypothesis,
lemma_by_obid,
isectElimination,
thin,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
introduction,
ispairExceptionCases,
inrFormation,
imageMemberEquality,
imageElimination,
exceptionSqequal,
inlFormation
Latex:
strict4(\mlambda{}x,y,z,w. if x is a pair then y otherwise z)
Date html generated:
2016_05_13-PM-03_44_51
Last ObjectModification:
2016_01_14-PM-07_06_20
Theory : computation
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