Expression of type Conditional

from the theory of proveit.numbers.numerals.decimals

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, Function, f, i, j
from proveit.core_expr_types import f_i_to_j
from proveit.logic import Equals

# build up the expression from sub-expressions
expr = Conditional(Equals([f_i_to_j], [Function(f, [i])]), Equals(j, i))

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(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j\right)\right) = \left(f\left(i\right)\right) \textrm{ if } j = i\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	11, 14
6	ExprTuple	8
7	ExprTuple	9
8	ExprRange	lambda_map: 10 start_index: 14 end_index: 11
9	Operation	operator: 15 operand: 14
10	Lambda	parameter: 17 body: 13
11	Variable
12	ExprTuple	14
13	Operation	operator: 15 operand: 17
14	Variable
15	Variable
16	ExprTuple	17
17	Variable