def pb

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64round.bend:316

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/f64.bend as SF

316def pb(+s: Bool, +one: Nat, +h1: {one == 1n : Nat}) -> {SF.pick(Nat, s, one, 0n) == SF.b2n(s) : Nat}:
317  match s:
318    case True{}:
319      Equal.trans(Nat, SF.pick(Nat, True{}, one, 0n), one, SF.b2n(True{}), pk_t(Nat, one, 0n), h1)
320    case False{}:
321      Equal.trans(Nat, SF.pick(Nat, False{}, one, 0n), 0n, SF.b2n(False{}), pk_f(Nat, one, 0n), {==})