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 B, ExprTuple, m, n
from proveit.core_expr_types import A_1_to_m, C_1_to_n
from proveit.logic import Boolean, InSet, Or
from proveit.numbers import Natural

# build up the expression from sub-expressions
expr = ExprTuple(InSet(m, Natural), InSet(n, Natural), InSet(Or(A_1_to_m, B, C_1_to_n), Boolean))

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(m \in \mathbb{N}, n \in \mathbb{N}, \left(A_{1} \lor  A_{2} \lor  \ldots \lor  A_{m} \lor B\lor C_{1} \lor  C_{2} \lor  \ldots \lor  C_{n}\right) \in \mathbb{B}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2, 3
1	Operation	operator: 6 operands: 4
2	Operation	operator: 6 operands: 5
3	Operation	operator: 6 operands: 7
4	ExprTuple	17, 8
5	ExprTuple	20, 8
6	Literal
7	ExprTuple	9, 10
8	Literal
9	Operation	operator: 11 operands: 12
10	Literal
11	Literal
12	ExprTuple	13, 14, 15
13	ExprRange	lambda_map: 16 start_index: 19 end_index: 17
14	Variable
15	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
16	Lambda	parameter: 26 body: 21
17	Variable
18	Lambda	parameter: 26 body: 22
19	Literal
20	Variable
21	IndexedVar	variable: 23 index: 26
22	IndexedVar	variable: 24 index: 26
23	Variable
24	Variable
25	ExprTuple	26
26	Variable