Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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
from proveit.core_expr_types import merge_series_conditions, merge_series_equiv, x_0_to_jmi
from proveit.logic import And

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x_0_to_jmi], Conditional(merge_series_equiv, And(merge_series_conditions))))

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(x_{0}, x_{1}, \ldots, x_{j - i}\right) \mapsto \left\{\begin{array}{c} \begin{array}{l} \left(x_{0}, x_{1}, \ldots, x_{j - i}\right) =  \\ \left(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j\right)\right) \end{array} \end{array} \textrm{ if } \left(x_{0} = f\left(i + 0\right)\right) \land  \left(x_{1} = f\left(i + 1\right)\right) \land  \ldots \land  \left(x_{j - i} = f\left(i + \left(j - i\right)\right)\right)\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	parameters: 8 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 21 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10
8	ExprTuple	11
9	ExprTuple	12
10	ExprRange	lambda_map: 13 start_index: 15 end_index: 16
11	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
12	ExprRange	lambda_map: 17 start_index: 36 end_index: 23
13	Lambda	parameter: 37 body: 18
14	Lambda	parameter: 37 body: 25
15	Literal
16	Operation	operator: 34 operands: 19
17	Lambda	parameter: 37 body: 20
18	Operation	operator: 21 operands: 22
19	ExprTuple	23, 24
20	Operation	operator: 31 operand: 37
21	Literal
22	ExprTuple	25, 26
23	Variable
24	Operation	operator: 27 operand: 36
25	IndexedVar	variable: 29 index: 37
26	Operation	operator: 31 operand: 33
27	Literal
28	ExprTuple	36
29	Variable
30	ExprTuple	37
31	Variable
32	ExprTuple	33
33	Operation	operator: 34 operands: 35
34	Literal
35	ExprTuple	36, 37
36	Variable
37	Variable