def fyi_c

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64fmod.bend:543

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/f64bits.bend as FB

543def fyi_c(+x: F.F64, +y: F.F64, +h: {SF.rbad(x, y) == False{} : Bool}, +yi: Bool) -> {F.fmod_yi(x, y, yi) == SF.pick(F.F64, yi, x, FM(x, y)) : F.F64}:
544  match yi:
545    case True{}:
546      {==}
547    case False{}:
548      Equal.trans(F.F64, F.fmod_z(x, y, F.is_zero(x)), F.fmod_z(x, y, SF.is_zero(x)), FM(x, y), Equal.cong(Bool, F.F64, t => F.fmod_z(x, y, t), F.is_zero(x), SF.is_zero(x), FB.is_zero_value(x)), fz_c(x, y, h, SF.is_zero(x), {==}))