Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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 Conditional, ExprTuple, beta, fi, gamma, i
from proveit.linear_algebra import ScalarMult
from proveit.logic import InSet
from proveit.numbers import Interval, Mult, four, two

# build up the expression from sub-expressions
sub_expr1 = InSet(i, Interval(two, four))
expr = ExprTuple(Conditional(ScalarMult(ScalarMult(gamma, beta), fi), sub_expr1), Conditional(ScalarMult(Mult(gamma, beta), fi), 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(\left(\gamma \cdot \beta\right) \cdot f\left(i\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}, \left(\gamma \cdot \beta\right) \cdot f\left(i\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\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	Conditional	value: 3 condition: 5
2	Conditional	value: 4 condition: 5
3	Operation	operator: 14 operands: 6
4	Operation	operator: 14 operands: 7
5	Operation	operator: 8 operands: 9
6	ExprTuple	10, 12
7	ExprTuple	11, 12
8	Literal
9	ExprTuple	23, 13
10	Operation	operator: 14 operands: 16
11	Operation	operator: 15 operands: 16
12	Operation	operator: 17 operand: 23
13	Operation	operator: 19 operands: 20
14	Literal
15	Literal
16	ExprTuple	21, 22
17	Variable
18	ExprTuple	23
19	Literal
20	ExprTuple	24, 25
21	Variable
22	Variable
23	Variable
24	Literal
25	Literal