Nuprl Lemma : pscm-comp-term

∀[Gamma,Delta,Z,s1,s2,t:Top].  ((t)s2 o s1 ~ ((t)s2)s1)


Proof




Definitions occuring in Statement :  pscm-ap-term: (t)s,  pscm-comp: G o F,  uall: ∀[x:A]. B[x],  top: Top,  sqequal: s ~ t
Definitions unfolded in proof :  pscm-ap-term: (t)s,  pscm-comp: G o F,  pscm-ap: (s)x,  compose: f o g,  member: t ∈ T,  uall: ∀[x:A]. B[x]
Lemmas referenced :  top_wf
Rules used in proof :  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  sqequalRule,  cut,  introduction,  extract_by_obid,  hypothesis,  because_Cache,  isect_memberFormation,  sqequalAxiom,  sqequalHypSubstitution,  isect_memberEquality,  isectElimination,  thin,  hypothesisEquality

Latex:
\mforall{}[Gamma,Delta,Z,s1,s2,t:Top].    ((t)s2  o  s1  \msim{}  ((t)s2)s1)



Date html generated: 2018_05_22-PM-10_04_37
Last ObjectModification: 2018_05_20-PM-09_49_10

Theory : presheaf!models!of!type!theory


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