Nuprl Lemma : injection_wf
∀[A,B:Type]. (A →⟶ B ∈ Type)
Proof
Definitions occuring in Statement :
injection: A →⟶ B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
injection: A →⟶ B,
prop: ℙ
Lemmas referenced :
inject_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
setEquality,
functionEquality,
hypothesisEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[A,B:Type]. (A \mrightarrow{}{}\mrightarrow{} B \mmember{} Type)
Date html generated:
2016_05_15-PM-06_10_58
Last ObjectModification:
2015_12_27-PM-00_14_22
Theory : general
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