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 ExprTuple, n
from proveit.core_expr_types import P__x_1_to_n, x_eq_y__1_to_n
from proveit.logic import InSet
from proveit.numbers import Natural

# build up the expression from sub-expressions
expr = ExprTuple(InSet(n, Natural), P__x_1_to_n, x_eq_y__1_to_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(n \in \mathbb{N}, P\left(x_{1}, x_{2}, \ldots, x_{n}\right),\left(x_{1} = y_{1}\right), \left(x_{2} = y_{2}\right), \ldots, \left(x_{n} = y_{n}\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2, 3
1	Operation	operator: 4 operands: 5
2	Operation	operator: 6 operands: 7
3	ExprRange	lambda_map: 8 start_index: 13 end_index: 14
4	Literal
5	ExprTuple	14, 9
6	Variable
7	ExprTuple	10
8	Lambda	parameter: 22 body: 11
9	Literal
10	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
11	Operation	operator: 15 operands: 16
12	Lambda	parameter: 22 body: 17
13	Literal
14	Variable
15	Literal
16	ExprTuple	17, 18
17	IndexedVar	variable: 19 index: 22
18	IndexedVar	variable: 20 index: 22
19	Variable
20	Variable
21	ExprTuple	22
22	Variable