# 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.logic import Equals
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 \|a + b\right \| = \sqrt{\left(\left \|a\right \|^{2} + \left \|b\right \|^{2}\right)}

In [5]:
stored_expr.style_options()

namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
directionDirection of the relation (normal or reversed)normalnormal('with_direction_reversed', 'is_reversed')
In [6]:
# display the expression information
stored_expr.expr_info()

core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3Operationoperator: 26
operand: 7
4Operationoperator: 20
operands: 6
5ExprTuple7
6ExprTuple8, 9
7Operationoperator: 10
operands: 11
8Operationoperator: 12
operands: 13
9Operationoperator: 14
operands: 15
10Literal
11ExprTuple28, 29
12Literal
13ExprTuple16, 17
14Literal
15ExprTuple18, 24
16Operationoperator: 20
operands: 19
17Operationoperator: 20
operands: 21
18Literal
19ExprTuple22, 24
20Literal
21ExprTuple23, 24
22Operationoperator: 26
operand: 28
23Operationoperator: 26
operand: 29
24Literal
25ExprTuple28
26Literal
27ExprTuple29
28Variable
29Variable