Expression of type Equals

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

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(m, one)
sub_expr3 = InSet(IndexedVar(A, sub_expr1), Boolean)
expr = Equals([ExprRange(sub_expr1, sub_expr3, one, sub_expr2)], [ExprRange(sub_expr1, sub_expr3, one, m), InSet(IndexedVar(A, sub_expr2), Boolean)]).with_wrapping_at(2)

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())

\begin{array}{c} \begin{array}{l} \left(\left(A_{1} \in \mathbb{B}\right), \left(A_{2} \in \mathbb{B}\right), \ldots, \left(A_{m + 1} \in \mathbb{B}\right)\right) =  \\ \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) \end{array} \end{array}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	(2)	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

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