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, f
from proveit.core_expr_types import f__x_1_to_n, f__y_1_to_n, x_1_to_n, x_eq_y__1_to_n, y_1_to_n
from proveit.logic import And, Equals

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([f, x_1_to_n, y_1_to_n], Conditional(Equals(f__x_1_to_n, f__y_1_to_n), And(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(f, x_{1}, x_{2}, \ldots, x_{n}, y_{1}, y_{2}, \ldots, y_{n}\right) \mapsto \left\{f\left(x_{1}, x_{2}, \ldots, x_{n}\right) = f\left(y_{1}, y_{2}, \ldots, y_{n}\right) \textrm{ if } \left(x_{1} = y_{1}\right) \land  \left(x_{2} = y_{2}\right) \land  \ldots \land  \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, 17
3	Conditional	value: 4 condition: 5
4	Operation	operator: 23 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11
9	Operation	operator: 13 operands: 12
10	Operation	operator: 13 operands: 14
11	ExprRange	lambda_map: 15 start_index: 21 end_index: 22
12	ExprTuple	16
13	Variable
14	ExprTuple	17
15	Lambda	parameter: 30 body: 18
16	ExprRange	lambda_map: 19 start_index: 21 end_index: 22
17	ExprRange	lambda_map: 20 start_index: 21 end_index: 22
18	Operation	operator: 23 operands: 24
19	Lambda	parameter: 30 body: 25
20	Lambda	parameter: 30 body: 26
21	Literal
22	Variable
23	Literal
24	ExprTuple	25, 26
25	IndexedVar	variable: 27 index: 30
26	IndexedVar	variable: 28 index: 30
27	Variable
28	Variable
29	ExprTuple	30
30	Variable