Nuprl Lemma : fpf_join_cons_lemma
∀v,u,eq:Top. (⊕([u / v]) ~ u ⊕ ⊕(v))
Proof
Definitions occuring in Statement :
fpf-join-list: ⊕(L),
fpf-join: f ⊕ g,
cons: [a / b],
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
fpf-join-list: ⊕(L),
top: Top
Lemmas referenced :
top_wf,
reduce_cons_lemma
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality
Latex:
\mforall{}v,u,eq:Top. (\moplus{}([u / v]) \msim{} u \moplus{} \moplus{}(v))
Date html generated:
2018_05_21-PM-09_23_07
Last ObjectModification:
2018_02_09-AM-10_19_05
Theory : finite!partial!functions
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