Nuprl Lemma : Kan-cubical-set_wf
KanCubicalSet ∈ 𝕌'
Proof
Definitions occuring in Statement :
Kan-cubical-set: KanCubicalSet,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
Kan-cubical-set: KanCubicalSet,
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
uimplies: b supposing a,
nameset: nameset(L),
and: P ∧ Q,
prop: ℙ
Lemmas referenced :
cubical-set_wf,
list_wf,
coordinate_name_wf,
nameset_wf,
int_seg_wf,
open_box_wf,
subtype_rel_list,
I-cube_wf,
Kan-filler_wf,
uniform-Kan-filler_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
setEquality,
productEquality,
cut,
lemma_by_obid,
hypothesis,
functionEquality,
sqequalHypSubstitution,
isectElimination,
thin,
applyEquality,
lambdaEquality,
cumulativity,
hypothesisEquality,
universeEquality,
because_Cache,
natural_numberEquality,
independent_isectElimination,
setElimination,
rename,
productElimination
Latex:
KanCubicalSet \mmember{} \mBbbU{}'
Date html generated:
2016_06_16-PM-06_49_42
Last ObjectModification:
2015_12_28-PM-04_23_43
Theory : cubical!sets
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