Expression of type ExprTuple

from the theory of proveit.logic.booleans.conjunction

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 A_1_to_l, B_1_to_m, C_1_to_n
from proveit.logic import And

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A_1_to_l, B_1_to_m, C_1_to_n], Conditional(And(A_1_to_l, B_1_to_m, C_1_to_n), And(A_1_to_l, And(B_1_to_m), 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(\left(A_{1}, A_{2}, \ldots, A_{l}, B_{1}, B_{2}, \ldots, B_{m}, C_{1}, C_{2}, \ldots, C_{n}\right) \mapsto \left\{A_{1} \land  A_{2} \land  \ldots \land  A_{l}\land B_{1} \land  B_{2} \land  \ldots \land  B_{m}\land C_{1} \land  C_{2} \land  \ldots \land  C_{n} \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{l} ,  B_{1} \land  B_{2} \land  \ldots \land  B_{m}, 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	ExprTuple	1
1	Lambda	parameters: 5 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 12 operands: 5
4	Operation	operator: 12 operands: 6
5	ExprTuple	7, 17, 9
6	ExprTuple	7, 8, 9
7	ExprRange	lambda_map: 10 start_index: 21 end_index: 11
8	Operation	operator: 12 operands: 13
9	ExprRange	lambda_map: 14 start_index: 21 end_index: 15
10	Lambda	parameter: 27 body: 16
11	Variable
12	Literal
13	ExprTuple	17
14	Lambda	parameter: 27 body: 18
15	Variable
16	IndexedVar	variable: 19 index: 27
17	ExprRange	lambda_map: 20 start_index: 21 end_index: 22
18	IndexedVar	variable: 23 index: 27
19	Variable
20	Lambda	parameter: 27 body: 24
21	Literal
22	Variable
23	Variable
24	IndexedVar	variable: 25 index: 27
25	Variable
26	ExprTuple	27
27	Variable