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, ExprTuple, Lambda, P
from proveit.core_expr_types import P__x_1_to_n, P__y_1_to_n, x_1_to_n, x_eq_y__1_to_n, y_1_to_n
from proveit.logic import And

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([P, x_1_to_n, y_1_to_n], Conditional(P__y_1_to_n, And(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(\left(P, x_{1}, x_{2}, \ldots, x_{n}, y_{1}, y_{2}, \ldots, y_{n}\right) \mapsto \left\{P\left(y_{1}, y_{2}, \ldots, y_{n}\right) \textrm{ if } 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..\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	13, 16, 9
3	Conditional	value: 4 condition: 5
4	Operation	operator: 13 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9
7	Literal
8	ExprTuple	10, 11
9	ExprRange	lambda_map: 12 start_index: 19 end_index: 20
10	Operation	operator: 13 operands: 14
11	ExprRange	lambda_map: 15 start_index: 19 end_index: 20
12	Lambda	parameter: 28 body: 24
13	Variable
14	ExprTuple	16
15	Lambda	parameter: 28 body: 17
16	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
17	Operation	operator: 21 operands: 22
18	Lambda	parameter: 28 body: 23
19	Literal
20	Variable
21	Literal
22	ExprTuple	23, 24
23	IndexedVar	variable: 25 index: 28
24	IndexedVar	variable: 26 index: 28
25	Variable
26	Variable
27	ExprTuple	28
28	Variable