noun, plural equivalencies.
equivalence ( defs 1, 2 ).

1525–35; < Medieval Latin aequivalentia. See equivalent, -ency

nonequivalency, noun
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World English Dictionary
equivalence or equivalency (ɪˈkwɪvələns)
1.  the state of being equivalent or interchangeable
2.  maths, logic
 a.  the relationship between two statements, each of which implies the other
 b.  Also called: biconditional the binary truth-function that takes the value true when both component sentences are true or when both are false, corresponding to English if and only if. Symbol: ≡ or ↔, as in --(pq) ≡ --p ∨ --q
equivalency or equivalency

equivalency or equivalence (ˌɛkwɪˈveɪlənsɪ)
chem the state of having equal valencies
equivalence or equivalence
equi'valent or equivalence

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Encyclopedia Britannica


in classical prosody, the principle that one long syllable is equal to two short ones. The principle is used as the basis for substitution in quantitative verse.

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Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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Example sentences
Phony, sleight of hand false equivalency right there.
It offers a false and pernicious equivalency, as if race were no more than
  incidental to the struggle.
In the education building, inmates studied for their high-school equivalency
  examinations and college degrees.
His first order of business was to get his high school equivalency diploma.
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