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Every element of is a member of the equivalence class.

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## Some Related Sentences

Every and element

__Every__such subset has

**a**smallest

__element__, so to specify our choice function we can simply say that it maps each set to

**the**least

__element__

**of**that set

**.**

** Zorn's lemma:

__Every__non-empty partially ordered set in which every chain ( i**.**e**.**totally ordered subset ) has an upper bound contains at least one maximal__element__**.**
** Tukey's lemma:

__Every__non-empty collection**of**finite character has**a**maximal__element__with respect to inclusion**.**__Every__lattice

__element__

**of**

**the**structure

**is**in its proper place, whether it

**is**

**a**single atom or

**a**molecular grouping

**.**

__Every__Boolean algebra ( A, ∧, ∨) gives rise to

**a**ring ( A, +, ·) by defining

**a**+ b := (

**a**∧ ¬ b ) ∨ ( b ∧ ¬

**a**) = (

**a**∨ b ) ∧ ¬(

**a**∧ b ) ( this operation

**is**called symmetric difference in

**the**case

**of**sets and XOR in

**the**case

**of**logic ) and

**a**· b :=

**a**∧ b

**.**The zero

__element__

**of**this ring coincides with

**the**0

**of**

**the**Boolean algebra ;

**the**multiplicative identity

__element__

**of**

**the**ring

**is**

**the**1

**of**

**the**Boolean algebra

**.**

__Every__repetition

**of**insertion sort removes an

__element__from

**the**input data, inserting it into

**the**correct position in

**the**already-sorted list, until no input elements remain

**.**

__Every__singleton

**is**

**a**terminal object, with

**the**functions mapping all elements

**of**

**the**source sets to

**the**single target

__element__as morphisms

**.**

__Every__

__element__s, except

**a**possible greatest

__element__, has

**a**unique successor ( next

__element__), namely

**the**least

__element__

**of**

**the**subset

**of**all elements greater than s

**.**

__Every__subset which has an upper bound has

**a**least upper bound

**.**

*

__Every__non-empty set**of**left ideals**of**R, partially ordered by inclusion, has**a**maximal__element__with respect to set inclusion**.**__Every__time

**a**pixel on

**a**triangle

**is**rendered,

**the**corresponding texel ( or texture

__element__) in

**the**texture must be found

**.**

__Every__non-inner automorphism yields

**a**non-trivial

__element__

**of**Out ( G ), but different non-inner automorphisms may yield

**the**same

__element__

**of**Out ( G ).

Every and is

__Every__legislator from Brasstown Bald to Folkston

__is__going to have his every vote subjected to

**the**closest scrutiny as

**a**test

**of**his political allegiances, not his convictions

**.**

__Every__detail in his interpretation has been beautifully thought out, and

**of**these I would especially cite

**the**delicious laendler touch

**the**pianist brings to

**the**fifth variation ( an obvious indication that he

__is__playing with Viennese musicians ), and

**the**gossamer shading throughout

**.**

__Every__taxpayer

__is__well aware

**of**

**the**vast size

**of**our annual defense budget and most

**of**our readers also realize that

**a**large portion

**of**these expenditures go for military electronics

**.**

__Every__few days, in

**the**early morning, as

**the**work progressed, twenty men would appear to push it ahead and to shift

**the**plank foundation that distributed its weight widely on

**the**Rotunda pavement, supported as it

__is__by ancient brick vaulting

**.**

__Every__dream, and this

__is__true

**of**

**a**mental image

**of**any type even though it may be readily interpreted into its equivalent

**of**wakeful thought,

__is__

**a**psychic phenomenon for which no explanation

__is__available

**.**

__Every__library borrower, or at least those whose taste goes beyond

**the**five-cent fiction rentals, knows what it

__is__to hear

**the**librarian say apologetically, `` I'm sorry, but we don't have that book

**.**

__Every__community, if it

__is__alive has

**a**spirit, and that spirit

__is__

**the**center

**of**its unity and identity

**.**

The restricted principle "

__Every__partially ordered set has**a**maximal totally ordered subset "__is__also equivalent to AC over ZF**.**__Every__natural-born citizen

**of**

**a**foreign state who

__is__also an American citizen and every natural-born American citizen who

__is__

**a**citizen

**of**

**a**foreign land owes

**a**double allegiance, one to

**the**United States, and one to his homeland ( in

**the**event

**of**an immigrant becoming

**a**citizen

**of**

**the**US ), or to his adopted land ( in

**the**event

**of**an emigrant natural born citizen

**of**

**the**US becoming

**a**citizen

**of**another nation ).

__Every__line

**of**written text

__is__

**a**mere reflection

**of**references from any

**of**

**a**multitude

**of**traditions, or, as Barthes puts it, "

**the**text

__is__

**a**tissue

**of**quotations drawn from

**the**innumerable centres

**of**culture "; it

__is__never original

**.**

__Every__year, on

**the**last Sunday in April, there

__is__an ice fishing competition in

**the**frozen estuarine waters

**of**

**the**Anadyr River's mouth

**.**

Every and member

__Every__

__member__

**of**

**the**future protectionist cabinet then in parliament ( except Disraeli ) voted against

**the**measure

**.**

__Every__cleric in Holy Orders and every

__member__

**of**

**a**religious order must publicly join in or privately read aloud ( i

**.**e

**.**using

**the**lips as well as

**the**eyes — it takes about two hours in this way )

**the**whole

**of**

**the**Breviary services allotted for each day

**.**

__Every__two years

**the**meeting

**is**held in

**a**different

__member__state, and

**is**chaired by that nation's respective Prime Minister or President, who becomes

**the**Commonwealth Chairperson-in-Office

**.**

__Every__

__member__would have decision-making power in

**the**firm and would be able to participate in establishing its overall policy objectives

**.**

__Every__type that

**is**

**a**

__member__

**of**

**the**type

**class**defines

**a**function that will extract

**the**data from

**the**string representation

**of**

**the**dumped data

**.**

__Every__three years,

__member__nations that provide funds to

**the**IDA gather together to replenish

**the**IDA's resources

**.**

__Every__

__member__

**of**

**the**community was subject to criticism by committee or

**the**community as

**a**whole, during

**a**general meeting

**.**

__Every__six months

__member__countries exchange information on deliveries

**of**conventional arms to non Wassenaar members that fall under eight broad weapons categories: battle tanks, armored combat vehicles ( ACVs ), large-caliber artillery, military aircraft / unmanned aerial vehicles, military and attack helicopters, warships, missiles or missile systems, and small arms and light weapons

**.**

__Every__

__member__

**of**

**the**punk band The Ramones took

**the**pseudonymous " Ramone " surname as part

**of**their collective stage persona

**.**

__Every__

__member__

**of**

**the**bands or tribes receiving

**a**land allotment

**is**subject to laws

**of**

**the**state or territory in which they reside

**.**

** The Fugitive Guy:

__Every__so often, Letterman would introduce " Roger Campbell " ( Elliott, wearing an extremely bad toupée ),**a**new__member__**of****the**Late Night crew**.**__Every__

__member__

**of**

**the**Bene Gesserit

**is**conditioned into singular loyalty to

**the**order and its goals with allegiances to even family being secondary, and no goal

**is**more paramount than

**the**Sisterhood's large-scale breeding program

**.**

__Every__career

__member__

**of**

**the**department

**is**minimally licensed as an emergency medical technician, while several also hold Paramedic certification

**.**

The International Committee

**of****the**Red Cross 1958 Commentary on 1949 Geneva Convention IV Relative to**the**Protection**of**Civilian Persons in Time**of**War states: "__Every__person in enemy hands must have some status under international law: he**is**either**a**prisoner**of**war and, as such, covered by**the**Third Convention,**a**civilian covered by**the**Fourth Convention, or again,**a**__member__**of****the**medical personnel**of****the**armed forces who**is**covered by**the**First Convention**.**0.148 seconds.