Expression of type ExprTuple

from the theory of proveit.core_expr_types.conditionals

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, a
from proveit.core_expr_types import Q_1_to_m, R_1_to_n
from proveit.logic import And, Equals

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, Q_1_to_m, R_1_to_n], Equals(Conditional(a, And(And(Q_1_to_m), And(R_1_to_n))), Conditional(a, And(Q_1_to_m, R_1_to_n))).with_wrapping_at(1)))

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, Q_{1}, Q_{2}, \ldots, Q_{m}, R_{1}, R_{2}, \ldots, R_{n}\right) \mapsto \left(\begin{array}{c} \begin{array}{l} \left\{a \textrm{ if } Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m} ,  R_{1} \land  R_{2} \land  \ldots \land  R_{n}\right.. \\  = \left\{a \textrm{ if } Q_{1} ,  Q_{2} ,  \ldots ,  Q_{m}, R_{1} ,  R_{2} ,  \ldots ,  R_{n}\right.. \end{array} \end{array}\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	9, 18, 19
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Conditional	value: 9 condition: 8
7	Conditional	value: 9 condition: 10
8	Operation	operator: 16 operands: 11
9	Variable
10	Operation	operator: 16 operands: 12
11	ExprTuple	13, 14
12	ExprTuple	18, 19
13	Operation	operator: 16 operands: 15
14	Operation	operator: 16 operands: 17
15	ExprTuple	18
16	Literal
17	ExprTuple	19
18	ExprRange	lambda_map: 20 start_index: 23 end_index: 21
19	ExprRange	lambda_map: 22 start_index: 23 end_index: 24
20	Lambda	parameter: 30 body: 25
21	Variable
22	Lambda	parameter: 30 body: 26
23	Literal
24	Variable
25	IndexedVar	variable: 27 index: 30
26	IndexedVar	variable: 28 index: 30
27	Variable
28	Variable
29	ExprTuple	30
30	Variable