Expression of type ExprTuple

from the theory of proveit.numbers.exponentiation

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 ExprTuple, b
from proveit.core_expr_types import a_1_to_m
from proveit.numbers import Exp, Mult
from proveit.numbers.exponentiation import prod_ai_raise_b__1_to_m

# build up the expression from sub-expressions
expr = ExprTuple(Exp(Mult(a_1_to_m), b), prod_ai_raise_b__1_to_m)

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())

\left(\left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{m}\right)^{b}, \left(a_{1}\right)^{b} \cdot  \left(a_{2}\right)^{b} \cdot  \ldots \cdot  \left(a_{m}\right)^{b}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 15 operands: 3
2	Operation	operator: 7 operands: 4
3	ExprTuple	5, 18
4	ExprTuple	6
5	Operation	operator: 7 operands: 8
6	ExprRange	lambda_map: 9 start_index: 13 end_index: 14
7	Literal
8	ExprTuple	10
9	Lambda	parameter: 21 body: 11
10	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
11	Operation	operator: 15 operands: 16
12	Lambda	parameter: 21 body: 17
13	Literal
14	Variable
15	Literal
16	ExprTuple	17, 18
17	IndexedVar	variable: 19 index: 21
18	Variable
19	Variable
20	ExprTuple	21
21	Variable