def lt_substl
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend as Arithimport Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend as L
44def lt_substl(+a: Nat, +b: Nat, +c: Nat, +e: {a == b : Nat}, +h: {Nat.is_lt(a, c) == True{} : Bool}) -> {Nat.is_lt(b, c) == True{} : Bool}:
45 L.subst(Nat, z => {Nat.is_lt(z, c) == True{} : Bool}, a, b, e, h)
Uses (4)
Used by (10)
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/modp:modp_mod
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/final:hlt
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/final:lt_dbl
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/step:dbound_lt
- bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/final:frz_c
- …