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, ExprRange, ExprTuple, IndexedVar, Variable, m
from proveit.logic import Boolean, InSet
from proveit.numbers import Add, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(A, sub_expr1), Boolean), one, m), InSet(IndexedVar(A, Add(m, one)), 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(\left(A_{1} \in \mathbb{B}\right), \left(A_{2} \in \mathbb{B}\right), \ldots, \left(A_{m} \in \mathbb{B}\right), A_{m + 1} \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
1	ExprRange	lambda_map: 3 start_index: 19 end_index: 18
2	Operation	operator: 7 operands: 4
3	Lambda	parameter: 17 body: 5
4	ExprTuple	6, 11
5	Operation	operator: 7 operands: 8
6	IndexedVar	variable: 13 index: 12
7	Literal
8	ExprTuple	10, 11
9	ExprTuple	12
10	IndexedVar	variable: 13 index: 17
11	Literal
12	Operation	operator: 15 operands: 16
13	Variable
14	ExprTuple	17
15	Literal
16	ExprTuple	18, 19
17	Variable
18	Variable
19	Literal