Nuprl Lemma : strict4-divide
strict4(λx,y,z,w. (x ÷ y))
Proof
Definitions occuring in Statement :
strict4: strict4(F),
lambda: λx.A[x],
divide: n ÷ m
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],
uimplies: b supposing a,
prop: ℙ,
divide: n ÷ m,
or: P ∨ Q,
squash: ↓T
Lemmas referenced :
value-type-has-value,
int-value-type,
has-value_wf_base,
istype-base,
is-exception_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
independent_pairFormation,
Error :lambdaFormation_alt,
sqequalRule,
cut,
callbyvalueDivide,
sqequalHypSubstitution,
hypothesis,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
productElimination,
thin,
introduction,
extract_by_obid,
isectElimination,
intEquality,
independent_isectElimination,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType,
divideExceptionCases,
exceptionSqequal,
Error :inrFormation_alt,
imageMemberEquality,
imageElimination,
Error :inlFormation_alt
Latex:
strict4(\mlambda{}x,y,z,w. (x \mdiv{} y))
Date html generated:
2019_06_20-AM-11_21_43
Last ObjectModification:
2019_04_02-AM-10_34_31
Theory : call!by!value_1
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