Nuprl Lemma : one_one_corr_wf
∀[A,B:Type]. (1-1-Corresp(A;B) ∈ ℙ)
Proof
Definitions occuring in Statement :
one_one_corr: 1-1-Corresp(A;B),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
one_one_corr: 1-1-Corresp(A;B),
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
exists_wf,
inv_funs_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
functionEquality,
hypothesisEquality,
lambdaEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
isect_memberEquality,
universeEquality,
Error :universeIsType
Latex:
\mforall{}[A,B:Type]. (1-1-Corresp(A;B) \mmember{} \mBbbP{})
Date html generated:
2019_06_20-PM-00_26_21
Last ObjectModification:
2018_09_26-PM-00_06_22
Theory : fun_1
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