Expression of type Conditional

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

# build up the expression from sub-expressions
expr = 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\{\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..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 19 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8
6	ExprTuple	9
7	ExprTuple	10
8	ExprRange	lambda_map: 11 start_index: 13 end_index: 14
9	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
10	ExprRange	lambda_map: 15 start_index: 34 end_index: 21
11	Lambda	parameter: 35 body: 16
12	Lambda	parameter: 35 body: 23
13	Literal
14	Operation	operator: 32 operands: 17
15	Lambda	parameter: 35 body: 18
16	Operation	operator: 19 operands: 20
17	ExprTuple	21, 22
18	Operation	operator: 29 operand: 35
19	Literal
20	ExprTuple	23, 24
21	Variable
22	Operation	operator: 25 operand: 34
23	IndexedVar	variable: 27 index: 35
24	Operation	operator: 29 operand: 31
25	Literal
26	ExprTuple	34
27	Variable
28	ExprTuple	35
29	Variable
30	ExprTuple	31
31	Operation	operator: 32 operands: 33
32	Literal
33	ExprTuple	34, 35
34	Variable
35	Variable