Nuprl Lemma : tidentity_wf
∀[A:Type]. (Id{A} ∈ A ⟶ A)
Proof
Definitions occuring in Statement :
tidentity: Id{T},
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,
tidentity: Id{T}
Lemmas referenced :
identity_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType,
universeEquality
Latex:
\mforall{}[A:Type]. (Id\{A\} \mmember{} A {}\mrightarrow{} A)
Date html generated:
2019_06_20-PM-00_26_14
Last ObjectModification:
2018_09_26-AM-11_48_20
Theory : fun_1
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