Nuprl Lemma : seteqinv_wf
seteqinv() ∈ ∀s1,s2:coSet{i:l}. (seteq(s1;s2) ⇒ seteq(s2;s1))
Proof
Definitions occuring in Statement :
seteqinv: seteqinv(),
seteq: seteq(s1;s2),
coSet: coSet{i:l},
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T
Definitions unfolded in proof :
member: t ∈ T,
seteqinv1_ext,
seteqinv: seteqinv()
Lemmas referenced :
seteqinv1_ext
Rules used in proof :
hypothesis,
extract_by_obid,
instantiate,
cut,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalRule,
sqequalSubstitution
Latex:
seteqinv() \mmember{} \mforall{}s1,s2:coSet\{i:l\}. (seteq(s1;s2) {}\mRightarrow{} seteq(s2;s1))
Date html generated:
2018_07_29-AM-09_51_09
Last ObjectModification:
2018_07_11-PM-00_08_03
Theory : constructive!set!theory
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