Nuprl Lemma : pscm-id-comp-sq
∀[A,B,C,D,x,y,X,Y,Z:Top]. (1(D) o x o y ~ x o y)
Proof
Definitions occuring in Statement :
pscm-id: 1(X),
pscm-comp: G o F,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
pscm-comp: G o F,
pscm-id: 1(X),
compose: f o g,
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
sqequalRule,
because_Cache,
cut,
introduction,
extract_by_obid,
hypothesis
Latex:
\mforall{}[A,B,C,D,x,y,X,Y,Z:Top]. (1(D) o x o y \msim{} x o y)
Date html generated:
2018_05_22-PM-10_00_32
Last ObjectModification:
2018_05_20-PM-09_43_49
Theory : presheaf!models!of!type!theory
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