Expression of type Or

from the theory of proveit.logic.sets.inclusion

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 x
from proveit.logic import Equals, Or
from proveit.numbers import five, four, one, three, two

# build up the expression from sub-expressions
expr = Or(Equals(x, one), Equals(x, three), Equals(x, five), Or(Equals(x, two), Equals(x, four)))

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(x = 1\right) \lor \left(x = 3\right) \lor \left(x = 5\right) \lor \left(\left(x = 2\right) \lor \left(x = 4\right)\right)

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.	()	()	('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',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 9 operands: 1
1	ExprTuple	2, 3, 4, 5
2	Operation	operator: 17 operands: 6
3	Operation	operator: 17 operands: 7
4	Operation	operator: 17 operands: 8
5	Operation	operator: 9 operands: 10
6	ExprTuple	20, 11
7	ExprTuple	20, 12
8	ExprTuple	20, 13
9	Literal
10	ExprTuple	14, 15
11	Literal
12	Literal
13	Literal
14	Operation	operator: 17 operands: 16
15	Operation	operator: 17 operands: 18
16	ExprTuple	20, 19
17	Literal
18	ExprTuple	20, 21
19	Literal
20	Variable
21	Literal