Expression of type ExprTuple

from the theory of proveit.logic.booleans.quantification

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
from proveit.core_expr_types import P__x_1_to_m_y_1_to_n, R__x_1_to_m_y_1_to_n, y_1_to_n

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([y_1_to_n], Conditional(P__x_1_to_m_y_1_to_n, R__x_1_to_m_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(y_{1}, y_{2}, \ldots, y_{n}\right) \mapsto \left\{P\left(x_{1}, x_{2}, \ldots, x_{m},y_{1}, y_{2}, \ldots, y_{n}\right) \textrm{ if } R\left(x_{1}, x_{2}, \ldots, x_{m},y_{1}, y_{2}, \ldots, 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	10
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 8
5	Operation	operator: 7 operands: 8
6	Variable
7	Variable
8	ExprTuple	9, 10
9	ExprRange	lambda_map: 11 start_index: 14 end_index: 12
10	ExprRange	lambda_map: 13 start_index: 14 end_index: 15
11	Lambda	parameter: 21 body: 16
12	Variable
13	Lambda	parameter: 21 body: 17
14	Literal
15	Variable
16	IndexedVar	variable: 18 index: 21
17	IndexedVar	variable: 19 index: 21
18	Variable
19	Variable
20	ExprTuple	21
21	Variable