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: Every countable theory which is satisfiable in a model M, is satisfiable in a countable substructure of M.

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## Some Related Sentences

Every and countable

__Every__subset

**of**the Hilbert cube inherits from the Hilbert cube the properties

**of**being both metrizable ( and therefore T4 ) and second

__countable__

**.**

It

**is**more interesting that the converse also holds**:**__Every__second__countable__T4 space**is**homeomorphic to**a**subset**of**the Hilbert cube**.**
*

__Every__totally disconnected compact metric space**is**homeomorphic to**a**subset**of****a**__countable__product**of**discrete spaces**.**
For example

**,**second-order arithmetic can express the principle "__Every____countable__vector space has**a**basis " but it cannot express the principle "__Every__vector space has**a**basis ".
*

__Every__compact space**is**σ-compact**,**and every σ-compact space**is**Lindelöf ( i**.**e**.**every open cover has**a**__countable__subcover ).
:#

__Every__element**of**D**is**the least upper bound**of****a**__countable__increasing sequence**of**isolated elements**.**

Every and theory

* Duality

**:**__Every__statement**,**theorem**,**or definition**in**category__theory__has**a**dual**which****is**essentially obtained by " reversing all the arrows ".__Every__field

__theory__

**of**particle physics

**is**based on certain symmetries

**of**nature whose existence

**is**deduced from observations

**.**

While also refining Galen's erroneous

__theory__**of**the pulse**,**Avicenna provided the first correct explanation**of**pulsation**:**"__Every__beat**of**the pulse comprises two movements and two pauses**.**__Every__epimorphism

**in**this algebraic sense

**is**an epimorphism

**in**the sense

**of**category

__theory__

**,**but the converse

**is**not true

**in**all categories

**.**

__Every__one

**of**the features encompassed by the

__theory__still requires

**a**reason for it to be maintained after hominids left the aquatic environment

**.**

" Some also hold to the

__theory__that Kidd conspired with Henry__Every__and Oak Island was used as**a**pseudo community bank between the two**.**
Iwasawa worked with so-called-extensions

**:**infinite extensions**of****a**number field with Galois group isomorphic to the additive group**of**p-adic integers for some prime p**.**__Every__closed subgroup**of****is****of**the form**,**so by Galois__theory__**,**a-extension**is**the same thing as**a**tower**of**fields such that**.**__Every__computer must be compatible with the principles

**of**information

__theory__

**,**statistical thermodynamics

**,**and quantum mechanics

**.**

Is fundamental for the many-body

__theory__that__Every__operator can be expressed**in**terms**of**annihilation and creation operators**.**__Every__Skolem

__theory__

**is**

**model**complete

**,**i

**.**e

**.**every

**substructure**

**of**

**a**

**model**

**is**an elementary

**substructure**

**.**

__Every__issue

**of**the magazine opens with

**a**description

**of**The Skeptics Society and its mission statement

**,**

**which**

**is**to explore subjects such as creationism

**,**pyramid power

**,**Bigfoot

**,**pseudohistorical claims ( as

**in**the examples

**of**Holocaust denial and extreme Afrocentrism ), the use or misuse

**of**

__theory__and statistics

**,**conspiracy theories

**,**urban myths

**,**witch-hunts

**,**mass hysterias

**,**genius and intelligence

**,**and cultural influences on science

**,**as well as controversies involving protosciences at the leading edge

**of**established science

**,**and even fads like cryonics and low-carb diets

**.**

__Every__proper subgroup

**of**G can be assumed

**a**solvable group

**,**meaning that much

__theory__

**of**such subgroups could be applied

**.**

__Every__quantum field

__theory__satisfying certain technical assumptions about its S-matrix that has non-trivial interactions can only have

**a**symmetry Lie algebra

**which**

**is**always

**a**direct product

**of**the Poincaré group and an internal group if there

**is**

**a**mass gap

**:**no mixing between these two

**is**possible

**.**

__Every__major Korean neo-Confucianist shared Toegye's preoccupation with single-mindedness

**,**

**which**signalled new stress on praxis

**in**the development

**of**Korean neo-Confucianism

**:**the fusion

**of**the metaphysical and the physical

**is**better brought about through action than speculation

**,**important as

__theory__might be

**.**

__Every__

__theory__

**which**refuses to ascribe to God an attribute

**which**

**is**essential to

**a**worthy conception

**of**His character

**is**anti-theistic

**.**

Every and which

__Every__new scandal

__which__would provide more `` copy '' for Marshall's pen would thus mean more publicity for Welch

**.**

__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__family

**of**Riviera Presbyterian Church has been asked to read the Bible and pray together daily during National Christian Family Week and to undertake one project

**in**

__which__all members

**of**the family participate

**.**

** 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**.**
*

__Every__continuous functor on**a**small-complete category__which__satisfies the appropriate solution set condition has**a**left-adjoint ( the Freyd adjoint functor theorem ).__Every__telephone company

**,**whether large or small

**,**determines its own ANAC for each individual central office

**,**

__which__tends to perpetuate the current situation

**of**

**a**mess

**of**overlapping and / or spotty areas

**of**coverage

**.**

__Every__field has an algebraic extension

__which__

**is**algebraically closed ( called its algebraic closure ), but proving this

**in**general requires some form

**of**the axiom

**of**choice

**.**

__Every__year since 1972 the BVI has hosted the Spring Regatta

**,**

__which__

**is**

**a**seven-day collection

**of**sailing races throughout the islands

**.**

*

__Every__real Banach algebra__which__**is****a**division algebra**is**isomorphic to the reals**,**the complexes**,**or the quaternions**.**
*

__Every__unital real Banach algebra with no zero divisors**,**and**in**__which__every principal ideal**is**closed**,****is**isomorphic to the reals**,**the complexes**,**or the quaternions**.**__Every__character

**is**automatically continuous from A to C

**,**since the kernel

**of**

**a**character

**is**

**a**maximal ideal

**,**

__which__

**is**closed

**.**

__Every__computer contains an internal clock that regulates the rate at

__which__instructions are executed and synchronizes all the various computer components

**.**

__Every__context-sensitive grammar

__which__does not generate the empty string can be transformed into an equivalent one

**in**Kuroda normal form

**.**

According to

__Every__**,**one example may be " the myth**of**St**.**George " and other stories about saints battling dragons**,**__which__were " modelled no doubt**in**many cases on older representations**of**the creator and preserver**of**the world**in**combat with chaos ".__Every__argues that " the disparagement

**of**myth

**in**our own civilization " stems partly from objections to perceived idolatry

**,**objections

__which__intensified

**in**the Reformation

**,**both among Protestants and among Catholics reacting against the classical mythology revived during the Renaissance

**.**

__Every__grammar

**in**Chomsky normal form

**is**context-free

**,**and conversely

**,**every context-free grammar can be transformed into an equivalent one

__which__

**is**

**in**Chomsky normal form

**.**

__Every__four years

**,**during

__which__an extra 24 hours have accumulated

**,**one extra day

**is**added to keep the count coordinated with the sun's apparent position

**.**

__Every__sequence can

**,**thus

**,**be read

**in**three reading frames

**,**each

**of**

__which__will produce

**a**different amino acid sequence (

**in**the given example

**,**Gly-Lys-Pro

**,**Gly-Asn

**,**or Glu-Thr

**,**respectively ).

__Every__time the boy had an injury

__which__caused him internal or external bleeding

**,**the Tsarina called on Rasputin

**,**and the Tsarevich subsequently got better

**.**

__Every__week before June 19

**,**the strip focuses on Garfield's birthday

**,**

__which__he dreads because

**of**his fear

**of**getting older

**.**

:::

__Every__Bill__which__shall have passed the House**of**Representatives and the Senate**,**shall**,**before it become**a**Law**,**be presented to the President**of**the United States ; If he approves he shall sign it**,**but if not he shall return it**,**with his Objections to that House**in**__which__it shall have originated ...0.509 seconds.