Expression of type Exp

from the theory of proveit.linear_algebra.addition

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.
%load_expr # Load the stored expression as 'stored_expr'
# 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

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

expr:

# 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

# 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)}

stored_expr.style_options()

name	description	default	current value	related methods
exponent	'raised': exponent as a superscript; 'radical': using a radical sign	radical	radical	('with_radical', 'without_radical')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 12 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 4 operands: 5
3	Operation	operator: 6 operands: 7
4	Literal
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 16
8	Operation	operator: 12 operands: 11
9	Operation	operator: 12 operands: 13
10	Literal
11	ExprTuple	14, 16
12	Literal
13	ExprTuple	15, 16
14	Operation	operator: 18 operand: 20
15	Operation	operator: 18 operand: 21
16	Literal
17	ExprTuple	20
18	Literal
19	ExprTuple	21
20	Variable
21	Variable