Expression of type ExprTuple

from the theory of proveit.numbers.multiplication

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, a, b, c, d
from proveit.numbers import Exp, Mult, Neg, four, frac, one, sqrt, three, two

# build up the expression from sub-expressions
sub_expr1 = frac(four, three)
sub_expr2 = Exp(d, two)
expr = ExprTuple(Mult(sub_expr1, sub_expr2, b, a, c, Exp(b, Neg(frac(one, two)))), Mult(sub_expr1, sub_expr2, sqrt(b), a, c))

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(\frac{4}{3} \cdot d^{2} \cdot b \cdot a \cdot c \cdot b^{-\frac{1}{2}}, \frac{4}{3} \cdot d^{2} \cdot \sqrt{b} \cdot a \cdot c\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	7, 8, 21, 10, 11, 6
4	Literal
5	ExprTuple	7, 8, 9, 10, 11
6	Operation	operator: 15 operands: 12
7	Operation	operator: 25 operands: 13
8	Operation	operator: 15 operands: 14
9	Operation	operator: 15 operands: 16
10	Variable
11	Variable
12	ExprTuple	21, 17
13	ExprTuple	18, 19
14	ExprTuple	20, 28
15	Literal
16	ExprTuple	21, 24
17	Operation	operator: 22 operand: 24
18	Literal
19	Literal
20	Variable
21	Variable
22	Literal
23	ExprTuple	24
24	Operation	operator: 25 operands: 26
25	Literal
26	ExprTuple	27, 28
27	Literal
28	Literal