Theorem number_add_reduction of type Forall

from the theory of proveit.linear_algebra.addition

see dependencies

import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.linear_algebra.addition import number_add_reduction

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

Passed sanity check: number_add_reduction matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\forall_{n \in \mathbb{N}^+}~\left[\forall_{x_{1}, x_{2}, \ldots, x_{n} \in \mathbb{C}}~\left(\left(x_{1} +  x_{2} +  \ldots +  x_{n}\right) = \left(x_{1} +  x_{2} +  \ldots +  x_{n}\right)\right)\right]

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 7 operand: 2
1	ExprTuple	2
2	Lambda	parameter: 30 body: 4
3	ExprTuple	30
4	Conditional	value: 5 condition: 6
5	Operation	operator: 7 operand: 10
6	Operation	operator: 31 operands: 9
7	Literal
8	ExprTuple	10
9	ExprTuple	30, 11
10	Lambda	parameters: 24 body: 12
11	Literal
12	Conditional	value: 13 condition: 14
13	Operation	operator: 15 operands: 16
14	Operation	operator: 17 operands: 18
15	Literal
16	ExprTuple	19, 20
17	Literal
18	ExprTuple	21
19	Operation	operator: 22 operands: 24
20	Operation	operator: 23 operands: 24
21	ExprRange	lambda_map: 25 start_index: 29 end_index: 30
22	Literal
23	Literal
24	ExprTuple	26
25	Lambda	parameter: 37 body: 27
26	ExprRange	lambda_map: 28 start_index: 29 end_index: 30
27	Operation	operator: 31 operands: 32
28	Lambda	parameter: 37 body: 33
29	Literal
30	Variable
31	Literal
32	ExprTuple	33, 34
33	IndexedVar	variable: 35 index: 37
34	Literal
35	Variable
36	ExprTuple	37
37	Variable