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__y_1_to_n, x_1_to_n, y_1_to_n
from proveit.logic import Equals, InSet
from proveit.numbers import Natural

# build up the expression from sub-expressions
expr = ExprTuple(InSet(n, Natural), P__y_1_to_n, Equals([x_1_to_n], [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(y_{1}, y_{2}, \ldots, y_{n}\right), \left(x_{1}, x_{2}, \ldots, x_{n}\right) = \left(y_{1}, y_{2}, \ldots, 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: 11
3	Operation	operator: 7 operands: 8
4	Literal
5	ExprTuple	17, 9
6	Variable
7	Literal
8	ExprTuple	10, 11
9	Literal
10	ExprTuple	12
11	ExprTuple	13
12	ExprRange	lambda_map: 14 start_index: 16 end_index: 17
13	ExprRange	lambda_map: 15 start_index: 16 end_index: 17
14	Lambda	parameter: 23 body: 18
15	Lambda	parameter: 23 body: 19
16	Literal
17	Variable
18	IndexedVar	variable: 20 index: 23
19	IndexedVar	variable: 21 index: 23
20	Variable
21	Variable
22	ExprTuple	23
23	Variable