Nuprl Lemma : identity-injection
∀[T:Type]. Inj(T;T;λx.x)
Proof
Definitions occuring in Statement :
inject: Inj(A;B;f),
uall: ∀[x:A]. B[x],
lambda: λx.A[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
inject: Inj(A;B;f),
all: ∀x:A. B[x],
implies: P ⇒ Q,
prop: ℙ
Lemmas referenced :
equal_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lambdaFormation,
sqequalRule,
sqequalHypSubstitution,
hypothesis,
extract_by_obid,
isectElimination,
thin,
cumulativity,
hypothesisEquality,
applyEquality,
lambdaEquality,
dependent_functionElimination,
axiomEquality,
universeEquality
Latex:
\mforall{}[T:Type]. Inj(T;T;\mlambda{}x.x)
Date html generated:
2017_04_17-AM-08_07_57
Last ObjectModification:
2017_02_27-PM-04_35_31
Theory : list_1
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