Nuprl Lemma : equipollent_same
∀[A:Type]. A ~ A
Proof
Definitions occuring in Statement :
equipollent: A ~ B,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
uimplies: b supposing a
Lemmas referenced :
equipollent_weakening
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
hypothesisEquality,
Error :isect_memberFormation_alt,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
independent_isectElimination,
hypothesis,
Error :universeIsType,
universeEquality
Latex:
\mforall{}[A:Type]. A \msim{} A
Date html generated:
2019_06_20-PM-02_16_47
Last ObjectModification:
2018_10_03-PM-11_59_10
Theory : equipollence!!cardinality!
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