Expression of type ExprTuple

from the theory of proveit.linear_algebra

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, u, v, w, x, y, z
from proveit.logic import CartExp, InSet
from proveit.numbers import Real, three

# build up the expression from sub-expressions
sub_expr1 = CartExp(Real, three)
expr = ExprTuple(InSet(a, Real), InSet(b, Real), InSet(c, Real), InSet(u, sub_expr1), InSet(v, sub_expr1), InSet(w, sub_expr1), InSet(x, sub_expr1), InSet(y, sub_expr1), InSet(z, sub_expr1))

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(a \in \mathbb{R}, b \in \mathbb{R}, c \in \mathbb{R}, u \in \mathbb{R}^{3}, v \in \mathbb{R}^{3}, w \in \mathbb{R}^{3}, x \in \mathbb{R}^{3}, y \in \mathbb{R}^{3}, z \in \mathbb{R}^{3}\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, 3, 4, 5, 6, 7, 8, 9
1	Operation	operator: 18 operands: 10
2	Operation	operator: 18 operands: 11
3	Operation	operator: 18 operands: 12
4	Operation	operator: 18 operands: 13
5	Operation	operator: 18 operands: 14
6	Operation	operator: 18 operands: 15
7	Operation	operator: 18 operands: 16
8	Operation	operator: 18 operands: 17
9	Operation	operator: 18 operands: 19
10	ExprTuple	20, 32
11	ExprTuple	21, 32
12	ExprTuple	22, 32
13	ExprTuple	23, 29
14	ExprTuple	24, 29
15	ExprTuple	25, 29
16	ExprTuple	26, 29
17	ExprTuple	27, 29
18	Literal
19	ExprTuple	28, 29
20	Variable
21	Variable
22	Variable
23	Variable
24	Variable
25	Variable
26	Variable
27	Variable
28	Variable
29	Operation	operator: 30 operands: 31
30	Literal
31	ExprTuple	32, 33
32	Literal
33	Literal