Nuprl Lemma : identity_wf

∀[A:Type]. (Id ∈ A ⟶ A)


Proof




Definitions occuring in Statement :  identity: Id,  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ⟶ B[x],  universe: Type
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  identity: Id
Rules used in proof :  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  Error :isect_memberFormation_alt,  introduction,  cut,  sqequalRule,  lambdaEquality,  hypothesisEquality,  sqequalHypSubstitution,  hypothesis,  axiomEquality,  equalityTransitivity,  equalitySymmetry,  Error :universeIsType,  universeEquality

Latex:
\mforall{}[A:Type].  (Id  \mmember{}  A  {}\mrightarrow{}  A)



Date html generated: 2019_06_20-PM-00_26_13
Last ObjectModification: 2018_09_26-AM-11_48_20

Theory : fun_1


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