Expression of type Conditional

from the theory of proveit.logic.equality

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, ExprRange, IndexedVar, Variable, n, x
from proveit.logic import And, Equals
from proveit.numbers import Add, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Conditional(Equals(IndexedVar(x, one), IndexedVar(x, Add(n, one))), And(ExprRange(sub_expr1, Equals(IndexedVar(x, sub_expr1), IndexedVar(x, Add(sub_expr1, one))), one, n)))

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\{x_{1} = x_{n + 1} \textrm{ if } \left(x_{1} = x_{1 + 1}\right) \land  \left(x_{2} = x_{2 + 1}\right) \land  \ldots \land  \left(x_{n} = x_{n + 1}\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: 15 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8
6	IndexedVar	variable: 21 index: 27
7	IndexedVar	variable: 21 index: 12
8	ExprRange	lambda_map: 11 start_index: 27 end_index: 17
9	ExprTuple	27
10	ExprTuple	12
11	Lambda	parameter: 26 body: 13
12	Operation	operator: 24 operands: 14
13	Operation	operator: 15 operands: 16
14	ExprTuple	17, 27
15	Literal
16	ExprTuple	18, 19
17	Variable
18	IndexedVar	variable: 21 index: 26
19	IndexedVar	variable: 21 index: 23
20	ExprTuple	26
21	Variable
22	ExprTuple	23
23	Operation	operator: 24 operands: 25
24	Literal
25	ExprTuple	26, 27
26	Variable
27	Literal