Nuprl Lemma : church_ite_true_lemma
∀y,x:Top. (church-ite() church-true() x y ~ x)
Proof
Definitions occuring in Statement :
church-ite: church-ite(),
church-true: church-true(),
top: Top,
all: ∀x:A. B[x],
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
member: t ∈ T,
all: ∀x:A. B[x],
church-ite: church-ite(),
church-true: church-true()
Lemmas referenced :
top_wf
Rules used in proof :
lemma_by_obid,
hypothesis,
cut,
lambdaFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution,
sqequalRule
Latex:
\mforall{}y,x:Top. (church-ite() church-true() x y \msim{} x)
Date html generated:
2020_05_20-AM-08_05_59
Last ObjectModification:
2020_01_23-PM-05_24_20
Theory : general
Home
Index