Nuprl Lemma : atomdeq_reduce_lemma
∀y,x:Top. (AtomDeq x y ~ x =a y)
Proof
Definitions occuring in Statement :
atom-deq: AtomDeq,
eq_atom: x =a y,
top: Top,
all: ∀x:A. B[x],
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
atom-deq: AtomDeq
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}y,x:Top. (AtomDeq x y \msim{} x =a y)
Date html generated:
2016_05_14-AM-06_07_10
Last ObjectModification:
2015_12_26-AM-11_46_09
Theory : equality!deciders
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