Common P__x_1_to_m_y_1_to_n of type Function

from the theory of proveit.core_expr_types

import proveit
# Automation is not needed when only 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 the special expression
from proveit.core_expr_types import P__x_1_to_m_y_1_to_n

# check that the built expression is the same as the stored expression
assert P__x_1_to_m_y_1_to_n == stored_expr
assert P__x_1_to_m_y_1_to_n._style_id == stored_expr._style_id
print("Passed sanity check: P__x_1_to_m_y_1_to_n matches stored_expr")

Passed sanity check: P__x_1_to_m_y_1_to_n matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

P\left(x_{1}, x_{2}, \ldots, x_{m},y_{1}, y_{2}, \ldots, y_{n}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

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