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{{Short description|Proof strategy for showing a collection of statements are pairwise equivalent.}} ...l [[Proof (mathematics)|proof]] technique where the equivalence of several statements can be proven without having to prove all pairwise equivalences directly. ...

...ytical and simulation programs are constructed from three general types of statements:<ref>{{Cite web ...ch define the model. They consist of [[FORTRAN]]-like programming language statements, and functional blocks of program code (procedures) designed for repeat ope ...

== Equivalent statements == There are several equivalent statements of the Smale conjecture. One is that the component of the unknot in the sp ...

...ead's lemmas''' (named after [[J. H. C. Whitehead]]) represent a series of statements regarding [[Lie algebra representation|representation theory]] of finite-di ...out first and second order cohomology, respectively, but there are similar statements pertaining to Lie algebra cohomology in arbitrary orders which are also att ...

==Explicit Statements== ...

...was broken, we can assert that anti dependence does not exist between the statements. ...nce was not broken, we do not know if a true dependence exists between the statements. ...

...red place and also as targets for <code>GOTO</code> and <code>GOSUB</code> statements. A <code>RENUMBER</code> facility was available to allow for sections of th === Statements === ...

== Statements and proofs == ...

'''Atomic subtyping''' is a restricted form of [[subtyping]] where type statements can only depend on coercions between [[atomic type]]s (including [[type var ...

...or = Ronald Harrop | year = 1956 | title = On disjunctions and existential statements in intuitionistic systems of logic | journal = [[Mathematische Annalen]] | ...A}}</math>-independent, meaning these are simple <math>\forall x. A</math> statements for which excluded middle is not <math>{\mathsf{HA}}</math>-provable. Indee ...

*[[Conditional (computer programming)|Conditional statements]] (if-then or if-then-else) in computer science, binary decisions about whi == Conditional statements == ...

.... Some natural examples include consistency statements from logic, several statements related to [[Ramsey theory]] such as the [[Szemerédi regularity lemma]], an ...vol. 31 (p.305)</ref> In particular, they are conservative for consistency statements. These fragments are sometimes studied in [[reverse mathematics]] {{harv|Si ...

==Statements== ...

==Statements== ...

In logic, an [[argument]] is a set of related statements expressing the ''premises'' (which may consists of non-empirical evidence, ==Statements== ...

== Statements == ...such that <math>p \nmid x</math> and <math>p \nmid y</math>, the following statements hold: ...

Intuitively, there is control dependence between two statements A and B if ...control dependences between the condition part of an if statement and the statements in its true/false bodies. ...

...t divisibility in a commutative ring <math>R</math> can be translated into statements about [[principal ideal]]s. For instance, ...

...math>\exists x\,Ux</math>, but not in free logic. The truth of these last statements, when used in a free logic, depend on the [[Domain of discourse|domain of q ...

...of failing the [[transitivity of identity]], the search for true identity statements similarly fails.<ref name= "What Numbers Could Not Be" /> By attempting to ...