Nuprl Definition : bm_compare
bm_compare(K) ==
{compare:K ⟶ K ⟶ ℤ|
Trans(K;x,y.0 ≤ (compare x y))
∧ AntiSym(K;x,y.0 ≤ (compare x y))
∧ Connex(K;x,y.0 ≤ (compare x y))
∧ Refl(K;x,y.(compare x y) = 0 ∈ ℤ)
∧ Sym(K;x,y.(compare x y) = 0 ∈ ℤ)}
Definitions occuring in Statement :
connex: Connex(T;x,y.R[x; y]),
anti_sym: AntiSym(T;x,y.R[x; y]),
trans: Trans(T;x,y.E[x; y]),
sym: Sym(T;x,y.E[x; y]),
refl: Refl(T;x,y.E[x; y]),
le: A ≤ B,
and: P ∧ Q,
set: {x:A| B[x]} ,
apply: f a,
function: x:A ⟶ B[x],
natural_number: $n,
int: ℤ,
equal: s = t ∈ T
FDL editor aliases :
bm_compare
Latex:
bm\_compare(K) ==
\{compare:K {}\mrightarrow{} K {}\mrightarrow{} \mBbbZ{}|
Trans(K;x,y.0 \mleq{} (compare x y))
\mwedge{} AntiSym(K;x,y.0 \mleq{} (compare x y))
\mwedge{} Connex(K;x,y.0 \mleq{} (compare x y))
\mwedge{} Refl(K;x,y.(compare x y) = 0)
\mwedge{} Sym(K;x,y.(compare x y) = 0)\}
Date html generated:
2016_05_17-PM-01_40_32
Last ObjectModification:
2012_08_28-AM-11_55_58
Theory : binary-map
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