Nuprl Lemma : csm-id_wf
∀[X:j⊢]. (1(X) ∈ X j⟶ X)
Proof
Definitions occuring in Statement :
csm-id: 1(X),
cube_set_map: A ⟶ B,
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cubical_set: CubicalSet,
cube_set_map: A ⟶ B,
csm-id: 1(X),
pscm-id: 1(X)
Lemmas referenced :
pscm-id_wf,
cube-cat_wf
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule
Latex:
\mforall{}[X:j\mvdash{}]. (1(X) \mmember{} X j{}\mrightarrow{} X)
Date html generated:
2020_05_20-PM-01_41_56
Last ObjectModification:
2020_04_03-PM-03_34_00
Theory : cubical!type!theory
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