def lo_iv
bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64sqv.bend:69
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64sqv.bend as F64sqv
import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-math@1.0.0.0/spec/math/w64.bend as SW
import bend-collections-laws-math@1.0.0.0/src/math/w64.bend as X
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as WU
import bend-collections-laws-math@1.0.0.0/src/math/natural.bend as M
69def lo_iv(+one: Nat, +h1: {one == 1n : Nat}, +nh: WU.U64, +h62: {C.fits(62n, SW.value(nh)) == True{} : Bool}, +h60: {C.fits(60n, SW.value(nh)) == False{} : Bool}) -> {v(X.lo(X.isqrt(nh))) == M.isqrt(SW.value(nh)) : Nat}:
70 Equal.trans(Nat, v(X.lo(X.isqrt(nh))), SW.value(X.isqrt(nh)), M.isqrt(SW.value(nh)), lo_val(X.isqrt(nh), iw32(one, h1, nh, h62, h60)), iw_v(one, h1, nh, h62, h60))