Nuprl Lemma : csm-comp-sq
∀[A,B,C,F,G:Top]. (G o F ~ F o G)
Proof
Definitions occuring in Statement :
csm-comp: G o F,
cube-cat: CubeCat,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t,
type-cat: TypeCat,
op-cat: op-cat(C),
trans-comp: t1 o t2
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
csm-comp: G o F,
pscm-comp: G o F
Lemmas referenced :
pscm-comp-sq,
cube-cat_wf
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule
Latex:
\mforall{}[A,B,C,F,G:Top]. (G o F \msim{} F o G)
Date html generated:
2020_05_20-PM-01_41_32
Last ObjectModification:
2020_04_19-PM-08_13_24
Theory : cubical!type!theory
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