# from the theory of proveit.linear_algebra.addition¶

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
# import Expression classes needed to build the expression
from proveit import a, b
from proveit.linear_algebra import Norm
from proveit.numbers import Add, Exp, sqrt, two

In [2]:
# build up the expression from sub-expressions
expr = sqrt(Add(Exp(Norm(a), two), Exp(Norm(b), two)))

expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\sqrt{\left(\left \|a\right \|^{2} + \left \|b\right \|^{2}\right)}

In [5]:
stored_expr.style_options()

namedescriptiondefaultcurrent valuerelated methods
In [6]:
# display the expression information
stored_expr.expr_info()

core typesub-expressionsexpression
0Operationoperator: 12
operands: 1
1ExprTuple2, 3
2Operationoperator: 4
operands: 5
3Operationoperator: 6
operands: 7
4Literal
5ExprTuple8, 9
6Literal
7ExprTuple10, 16
8Operationoperator: 12
operands: 11
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple14, 16
12Literal
13ExprTuple15, 16
14Operationoperator: 18
operand: 20
15Operationoperator: 18
operand: 21
16Literal
17ExprTuple20
18Literal
19ExprTuple21
20Variable
21Variable