Calc
FreshVar()
FreshVars()
Inductive()
Lemma()
NewType()
PTheorem()
Proof
QExists()
QForAll()
QImplies()
Struct()
Theorem()
axiom()
cond()
define()
prove()
search()
simp()
ForAllI()
Goal
LemmaCallback
ProofState
auto()
forallI()
open_binder()
simp_tac()
skolem()
subst()
t (ExprRef)
by (list[Proof])