def rc_true

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/rconst.bend:128

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/ineq.bend as I

128def rc_true(+r: Nat, +nn: Nat, +pp: Nat, +h: {Nat.is_lt(Nat.add(r, nn), 1n+pp) == True{} : Bool}) -> {Bool.not(Nat.is_lt(Nat.mod(Nat.add(r, nn), 1n+pp), nn)) == True{} : Bool}:
129  %Equal.sym(Nat, Nat.mod(Nat.add(r, nn), 1n+pp), Nat.add(r, nn), mod_small(pp, Nat.add(r, nn), h)) : {Bool.not(Nat.is_lt(_, nn)) == True{} : Bool}
130  %Equal.sym(Bool, Nat.is_lt(Nat.add(r, nn), nn), False{}, N.le_not_lt(Nat.add(r, nn), nn, I.le_add_l(r, nn))) : {Bool.not(_) == True{} : Bool}
131  {==}