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, X, Y, Z, a, b, c
from proveit.linear_algebra import ScalarMult, VecAdd
from proveit.logic import CartExp
from proveit.numbers import Real, three

# build up the expression from sub-expressions
expr = ExprTuple(VecAdd(ScalarMult(a, X), ScalarMult(b, Y), ScalarMult(c, Z)), CartExp(Real, three))

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 \cdot X\right) + \left(b \cdot Y\right) + \left(c \cdot Z\right), \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
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 8, 9
5	Literal
6	ExprTuple	10, 11
7	Operation	operator: 14 operands: 12
8	Operation	operator: 14 operands: 13
9	Operation	operator: 14 operands: 15
10	Literal
11	Literal
12	ExprTuple	16, 17
13	ExprTuple	18, 19
14	Literal
15	ExprTuple	20, 21
16	Variable
17	Variable
18	Variable
19	Variable
20	Variable
21	Variable