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Definition of equality : 1. Evenness; uniformity; as, an equality of surface.
2. Exact agreement between two expressions or magnitudes with respect to quantity; - denoted by the symbol =; thus, a = x signifies that a contains the same number and kind of units of measure that x does.
3. Sameness in state or continued course; evenness; uniformity; as, an equality of temper or constitution.
4. The condition or quality of being equal; agreement in quantity or degree as compared; likeness in bulk, value, rank, properties, etc.; as, the equality of two bodies in length or thickness; an equality of rights.

Synonyms:

identity, parallelism, compare, equal, inclusion, free speech, civil rights, prejudiced, equilibrium, human rights, equitableness, justice, coequality, symmetry, a fair shake, fair play, identical value, correspondence, parity, equating, level playing field, comparison, brotherhood, comparability, equalization, impartiality, coordinateness, state of being equal, uniformity, equivalency, likeness, discrimination, evenness, equal opportunity, equation, lack of distinction, egalitarianism, basic, positive discrimination, six of one and half a dozen of the other, par, same, equity

equivalence, fairness, balance, alikeness, identicalness, sameness, indistinguishability

Usage examples:

• Upon the acceptance of the challenge, the seconds make the necessary arrangements for the meeting, in which each party is entitled to a perfect equality.
• The fact was people wanted equality. - "Renée Mauperin", Edmond de Goncourt and Jules de Goncourt.
• He could not bear to see her pushing her way through the mixed crowd, and accepting so easily a footing of equality with it. - "The New Rector", Stanley J. Weyman.