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formal statement of equivalence


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Also see: formal | statement | of

WordReference Random House Learner's Dictionary of American English © 2026
e•qui•val•ence /ɪˈkwɪvələns/USA pronunciation  n. 
    1. the act or condition of being the same or equal in value, measure, force: [uncountable]demanding equivalence in treatment.[countable]An equivalence was found between the two chemical reactions.

WordReference Random House Unabridged Dictionary of American English © 2026
e•quiv•a•lence  (i kwiv′ə ləns or, for 3, ē′kwə vā′ləns),USA pronunciation n. 
  1. the state or fact of being equivalent;
    equality in value, force, significance, etc.
  2. an instance of this;
    an equivalent.
  3. Chemistrythe quality of having equal valence.
  4. Philosophy, Mathematics[Logic, Math.]
    • Also called material implication. the relation between two propositions such that the second is not false when the first is true.
    • Also called material equivalence. the relation between two propositions such that they are either both true or both false.
    • the relation between two propositions such that each logically implies the other.

adj. 
  1. Mathematics, Philosophy(of a logical or mathematical relationship) reflexive, symmetrical, and transitive.
Also, equivalency (for defs. 1, 2).
  • Medieval Latin aequivalentia, equivalent. to Latin aequivalent- equivalent + -ia -ia; see -ence
  • Middle French
  • 1535–45

Collins Concise English Dictionary © HarperCollins Publishers::
equivalence / ɪˈkwɪvələns/, equivalency
  1. the state of being equivalent or interchangeable
  2. the relationship between two statements, each of which implies the other
  3. 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 –(p ∧ q) ≡ –p ∨ –q

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