def lt_add_left
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as Natimport Base
324def lt_add_left(+a: Nat, +b: Nat, +c: Nat, e: {Nat.is_lt(a, b) == True{} : Bool}) -> {Nat.is_lt(Nat.add(c, a), Nat.add(c, b)) == True{} : Bool}:
325 match c:
326 case 0n:
327 e
328 case 1n+r:
329 lt_add_left(a, b, r, e)
Uses (4)
Used by (22)
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/fill:lt_mul_add
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/ineq:lt_add_pos
- bend-collections-laws-crypto@1.0.0.0/proofs/lib/arith:digit_lt
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/scalar:addg_val
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/modp:modp_mod
- …