Nuprl Lemma : csm-id-adjoin-subset
∀[Gamma,phi,u:Top]. ([u] ~ [u])
Proof
Definitions occuring in Statement :
context-subset: Gamma, phi,
csm-id-adjoin: [u],
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
csm-id-adjoin: [u],
csm-id: 1(X),
csm-adjoin: (s;u),
csm-ap: (s)x,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[Gamma,phi,u:Top]. ([u] \msim{} [u])
Date html generated:
2018_05_23-AM-09_28_56
Last ObjectModification:
2018_05_20-PM-06_27_01
Theory : cubical!type!theory
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