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Things related to η-convertibility, η-expansion, η-reduction, and their use in simplifying proofs.

In type theory, η-conversion is a process of “computation” which is “dual” to beta-conversion.

The equivalence relation generated by η-reduction/expansion is called η-equivalence, and the whole collection of processes is called η-conversion.

(from nLab)

References:
η-conversion (nLab)