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def pk.lt_le

bend-osdev-pkcs7@0.1.0.0 · PROOF.bend:115

import bend-osdev-pkcs7@0.1.0.0/PROOF.bend as PROOF
import Base

115def pk.lt_le(+x: Nat, +y: Nat) -> {Nat.is_lt(x, 1n+y) == True{} : Bool} -> {Nat.is_le(x, y) == True{} : Bool}:
116  match x:
117    case 0n:
118      h => pk.le0(y)
119    case 1n+xp:
120      match y:
121        case 0n:
122          h => pk.absurd({Nat.is_le(1n+xp, 0n) == True{} : Bool}, pk.lt0(xp)(h))
123        case 1n+yp:
124          h => pk.lt_le(xp, yp)(h)

Uses (7)

Used by (1)