Expression of type ExprTuple

from the theory of proveit.logic.booleans.disjunction

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 A, Conditional, ExprRange, ExprTuple, IndexedVar, Lambda, Variable, m
from proveit.logic import And, Boolean, InSet, Or
from proveit.numbers import Add, one, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = IndexedVar(A, sub_expr1)
sub_expr3 = Add(m, one)
expr = ExprTuple(Lambda([ExprRange(sub_expr1, sub_expr2, one, Add(m, two))], Conditional(InSet(Or(ExprRange(sub_expr1, sub_expr2, one, sub_expr3)), Boolean), And(ExprRange(sub_expr1, InSet(sub_expr2, Boolean), one, sub_expr3)))))

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_{m + 2}\right) \mapsto \left\{\left(A_{1} \lor  A_{2} \lor  \ldots \lor  A_{m + 1}\right) \in \mathbb{B} \textrm{ if } \left(A_{1} \in \mathbb{B}\right) \land  \left(A_{2} \in \mathbb{B}\right) \land  \ldots \land  \left(A_{m + 1} \in \mathbb{B}\right)\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	4
3	Conditional	value: 5 condition: 6
4	ExprRange	lambda_map: 20 start_index: 29 end_index: 7
5	Operation	operator: 22 operands: 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 24 operands: 11
8	ExprTuple	12, 27
9	Literal
10	ExprTuple	13
11	ExprTuple	28, 14
12	Operation	operator: 15 operands: 16
13	ExprRange	lambda_map: 17 start_index: 29 end_index: 21
14	Literal
15	Literal
16	ExprTuple	18
17	Lambda	parameter: 32 body: 19
18	ExprRange	lambda_map: 20 start_index: 29 end_index: 21
19	Operation	operator: 22 operands: 23
20	Lambda	parameter: 32 body: 26
21	Operation	operator: 24 operands: 25
22	Literal
23	ExprTuple	26, 27
24	Literal
25	ExprTuple	28, 29
26	IndexedVar	variable: 30 index: 32
27	Literal
28	Variable
29	Literal
30	Variable
31	ExprTuple	32
32	Variable