Nuprl Lemma : step-function-example_wf
∀[X:Type]. (step-function-example(X) ∈ Type)
Proof
Definitions occuring in Statement :
step-function-example: step-function-example(X),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
step-function-example: step-function-example(X),
prop: ℙ,
and: P ∧ Q,
int_seg: {i..j-}
Lemmas referenced :
equal-wf-T-base,
or_wf,
int_seg_wf,
step-function_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
hypothesis,
lambdaEquality,
productEquality,
intEquality,
setElimination,
rename,
hypothesisEquality,
baseClosed,
because_Cache,
cumulativity,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[X:Type]. (step-function-example(X) \mmember{} Type)
Date html generated:
2016_05_15-PM-10_11_43
Last ObjectModification:
2016_01_16-PM-04_08_23
Theory : eval!all
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