Expression of type Or

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.core_expr_types import A_1_to_l, B_1_to_m, C_1_to_n
from proveit.logic import Or

# build up the expression from sub-expressions
expr = Or(A_1_to_l, Or(B_1_to_m), C_1_to_n)

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())

A_{1} \lor  A_{2} \lor  \ldots \lor  A_{l} \lor \left(B_{1} \lor  B_{2} \lor  \ldots \lor  B_{m}\right)\lor C_{1} \lor  C_{2} \lor  \ldots \lor  C_{n}

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