Nuprl Lemma : fun_exp1_lemma
∀f:Top. (f^1 ~ f o (λx.x))
Proof
Definitions occuring in Statement :
fun_exp: f^n,
compose: f o g,
top: Top,
all: ∀x:A. B[x],
lambda: λx.A[x],
natural_number: $n,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
fun_exp: f^n,
top: Top
Lemmas referenced :
top_wf,
primrec1_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{}f:Top. (f\^{}1 \msim{} f o (\mlambda{}x.x))
Date html generated:
2016_05_13-PM-04_06_52
Last ObjectModification:
2015_12_26-AM-11_04_20
Theory : fun_1
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