Prevail, a formal verification environment for proving the equivalence of two very-high-speed integrated circuit hardware description language (VHDL) design architectures, is described. For simple bit-level combinational descriptions, the environment calls upon a tautology checker. For parameterized repetitive structures and for more abstract sequential designs, the program translates descriptions into recursive functions according to predefined templates and generates a theorem acceptable to the Bover-Moore theorem prover. The specification, implementation, and functional representation of a sequential example are presented.