Nuprl Lemma : spread_cons_lemma
∀f,y,x:Top. (let a,b = [x / y] in f[a;b] ~ f[x;y])
Proof
Definitions occuring in Statement :
cons: [a / b],
top: Top,
so_apply: x[s1;s2],
all: ∀x:A. B[x],
spread: spread def,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
cons: [a / b]
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}f,y,x:Top. (let a,b = [x / y] in f[a;b] \msim{} f[x;y])
Date html generated:
2016_05_14-AM-06_26_04
Last ObjectModification:
2015_12_26-PM-00_42_09
Theory : list_0
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