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def AP.wrap_lt

bend-osdev-array@0.1.0.1 · PROOF.bend:1738

import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
import Base
import bend-osdev-u32@0.1.0.0/LAWS.bend as UL

1738# s + k < 2s, for k < s
1739def AP.wrap_lt(+s: Nat, +k: Nat, hk: {Nat.is_lt(k, s) == True{} : Bool}) -> {Nat.is_lt(Nat.add(s, k), Nat.double(s)) == True{} : Bool}:
1740  %Equal.sym(Nat, Nat.double(s), Nat.add(s, s), UL.nat_double(s)) : {Nat.is_lt(Nat.add(s, k), _) == True{} : Bool}
1741  Equal.trans(Bool, Nat.is_lt(Nat.add(s, k), Nat.add(s, s)), Nat.is_lt(k, s), True{}, AP.lt_cancel(s, k, s), hk)

Uses (9)

Used by (1)