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, Lambda, beta, gamma, i
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Interval, Mult, four, one, two

# build up the expression from sub-expressions
sub_expr1 = Add(i, one)
expr = ExprTuple(Lambda(i, Conditional(Equals(Mult(gamma, i, beta, sub_expr1), Mult(beta, gamma, i, sub_expr1)).with_wrapping_at(2), InSet(i, Interval(two, four)))))

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(i \mapsto \left\{\begin{array}{c} \begin{array}{l} \left(\gamma \cdot i \cdot \beta \cdot \left(i + 1\right)\right) =  \\ \left(\beta \cdot \gamma \cdot i \cdot \left(i + 1\right)\right) \end{array} \end{array} \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 25 body: 3
2	ExprTuple	25
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	25, 12
10	Operation	operator: 14 operands: 13
11	Operation	operator: 14 operands: 15
12	Operation	operator: 16 operands: 17
13	ExprTuple	19, 25, 18, 20
14	Literal
15	ExprTuple	18, 19, 25, 20
16	Literal
17	ExprTuple	21, 22
18	Variable
19	Variable
20	Operation	operator: 23 operands: 24
21	Literal
22	Literal
23	Literal
24	ExprTuple	25, 26
25	Variable
26	Literal