Calc
FreshVar()
FreshVars()
Inductive()
Lemma()
NewType()
PTheorem()
Proof
QExists()
QForAll()
QImplies()
Struct()
Theorem()
axiom()
cond()
define()
prove()
search()
simp()
compose()
Defn
Judgement
LemmaError
andI()
define_fix()
defns
ext()
forget()
fresh_const()
generalize()
herb()
induct_inductive()
instan()
is_defined()
is_fresh_var()
is_proof()
modus()
obtain()
rename_vars2()
specialize()
subst()
unfold()
Compose two implications. Useful for chaining implications.
>>> a,b,c = smt.Bools("a b c") >>> ab = axiom(smt.Implies(a, b)) >>> bc = axiom(smt.Implies(b, c)) >>> compose(ab, bc) |= Implies(a, c)
ab (Proof)
bc (Proof)