Expression of type Lambda

from the theory of proveit.logic.sets.enumeration

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, b
from proveit.core_expr_types import a_1_to_m, c_1_to_n
from proveit.logic import InSet, Set

# build up the expression from sub-expressions
expr = Lambda([a_1_to_m, b, c_1_to_n], InSet(b, Set(a_1_to_m, b, c_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(a_{1}, a_{2}, \ldots, a_{m}, b, c_{1}, c_{2}, \ldots, c_{n}\right) \mapsto \left(b \in \left\{a_{1}, a_{2}, \ldots, a_{m}, b,c_{1}, c_{2}, \ldots, c_{n}\right\}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameters: 6 body: 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	8, 4
4	Operation	operator: 5 operands: 6
5	Literal
6	ExprTuple	7, 8, 9
7	ExprRange	lambda_map: 10 start_index: 13 end_index: 11
8	Variable
9	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
10	Lambda	parameter: 20 body: 15
11	Variable
12	Lambda	parameter: 20 body: 16
13	Literal
14	Variable
15	IndexedVar	variable: 17 index: 20
16	IndexedVar	variable: 18 index: 20
17	Variable
18	Variable
19	ExprTuple	20
20	Variable