Expression of type Lambda

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 Lambda
from proveit.core_expr_types import P__x_1_to_n, x_1_to_n

# build up the expression from sub-expressions
expr = Lambda([x_1_to_n], P__x_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(x_{1}, x_{2}, \ldots, x_{n}\right) \mapsto P\left(x_{1}, x_{2}, \ldots, x_{n}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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