def sif

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/u64mont.bend:95

import Base
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

95def sif(+bp: Nat, +m: WU.U64, +r: WU.U64, +hM: {SW.value(m) == 1n+bp : Nat}, +hr: {Nat.is_lt(SW.value(r), Nat.add(1n+bp, 1n+bp)) == True{} : Bool}) -> {SW.value(X.redc_r(m, r)) == Nat.mod(SW.value(r), 1n+bp) : Nat}:
96  sif_c(bp, m, r, hM, hr, X.le(m, r), {==})