# 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 ExprTuple, a, b
from proveit.numbers import Add, Exp, sqrt, two

In [2]:
# build up the expression from sub-expressions

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())

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

In [5]:
stored_expr.style_options()

namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()

core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 24
operand: 5
2Operationoperator: 18
operands: 4
3ExprTuple5
4ExprTuple6, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 10
operands: 11
7Operationoperator: 12
operands: 13
8Literal
9ExprTuple26, 27
10Literal
11ExprTuple14, 15
12Literal
13ExprTuple16, 22
14Operationoperator: 18
operands: 17
15Operationoperator: 18
operands: 19
16Literal
17ExprTuple20, 22
18Literal
19ExprTuple21, 22
20Operationoperator: 24
operand: 26
21Operationoperator: 24
operand: 27
22Literal
23ExprTuple26
24Literal
25ExprTuple27
26Variable
27Variable