Nuprl Lemma : is_list_fun_axiom_lemma

∀f:Top. (is-list-fun() f Ax ~ tt)


Proof




Definitions occuring in Statement :  is-list-fun: is-list-fun(),  btrue: tt,  top: Top,  all: ∀x:A. B[x],  apply: f a,  sqequal: s ~ t,  axiom: Ax
Definitions unfolded in proof :  all: ∀x:A. B[x],  member: t ∈ T,  is-list-fun: is-list-fun()
Lemmas referenced :  top_wf
Rules used in proof :  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  lambdaFormation,  cut,  hypothesis,  lemma_by_obid,  sqequalRule

Latex:
\mforall{}f:Top.  (is-list-fun()  f  Ax  \msim{}  tt)



Date html generated: 2016_05_15-PM-10_09_46
Last ObjectModification: 2015_12_27-PM-05_59_15

Theory : eval!all


Home Index