Expression of type ExprTuple

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, ExprTuple, IndexedVar, Lambda, Variable, n, x
from proveit.core_expr_types import x_1_to_np1
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 = ExprTuple(Lambda([x_1_to_np1], 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(\left(x_{1}, x_{2}, \ldots, x_{n + 1}\right) \mapsto \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..\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: 2 body: 3
2	ExprTuple	4
3	Conditional	value: 5 condition: 6
4	ExprRange	lambda_map: 7 start_index: 32 end_index: 17
5	Operation	operator: 20 operands: 8
6	Operation	operator: 9 operands: 10
7	Lambda	parameter: 31 body: 23
8	ExprTuple	11, 12
9	Literal
10	ExprTuple	13
11	IndexedVar	variable: 26 index: 32
12	IndexedVar	variable: 26 index: 17
13	ExprRange	lambda_map: 16 start_index: 32 end_index: 22
14	ExprTuple	32
15	ExprTuple	17
16	Lambda	parameter: 31 body: 18
17	Operation	operator: 29 operands: 19
18	Operation	operator: 20 operands: 21
19	ExprTuple	22, 32
20	Literal
21	ExprTuple	23, 24
22	Variable
23	IndexedVar	variable: 26 index: 31
24	IndexedVar	variable: 26 index: 28
25	ExprTuple	31
26	Variable
27	ExprTuple	28
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Variable
32	Literal