def ion
bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64divc.bend:112
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64divc.bend as F64divc
import Base
import bend-collections-laws-math@1.0.0.0/spec/math/f64.bend as SF
import bend-collections-laws-math@1.0.0.0/src/math/f64.bend as F
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64round.bend as FR
112def ion(+s: Bool, +b: Bool) -> {F.inf_or_nan(s, b) == SF.pick(F.F64, b, F.nan(), F.inf(s)) : F.F64}:
113 match b:
114 case True{}:
115 Equal.trans(F.F64, F.inf_or_nan(s, True{}), F.nan(), SF.pick(F.F64, True{}, F.nan(), F.inf(s)), {==}, Equal.sym(F.F64, SF.pick(F.F64, True{}, F.nan(), F.inf(s)), F.nan(), FR.pk_t(F.F64, F.nan(), F.inf(s))))
116 case False{}:
117 Equal.trans(F.F64, F.inf_or_nan(s, False{}), F.inf(s), SF.pick(F.F64, False{}, F.nan(), F.inf(s)), {==}, Equal.sym(F.F64, SF.pick(F.F64, False{}, F.nan(), F.inf(s)), F.inf(s), FR.pk_f(F.F64, F.nan(), F.inf(s))))