Calc
Inductive()
Lemma
NewType()
Proof
QExists()
QForAll()
Record()
axiom()
cond()
define()
lemma()
abstract_arith()
rlemma()
sin_lower()
sqrt_bnd()
sqrt_lower()
sqrt_upper()
Z3 has difficult ematching over arithmetic expressions. Abstracting them to uninterpreted functions can help.