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, Conditional, ExprTuple, Lambda
from proveit.core_expr_types import A_1_to_l, C_1_to_m, D_1_to_n
from proveit.logic import Or

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A_1_to_l, B, C_1_to_m, D_1_to_n], Conditional(Or(A_1_to_l, C_1_to_m, B, D_1_to_n), Or(A_1_to_l, B, C_1_to_m, D_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())

\left(\left(A_{1}, A_{2}, \ldots, A_{l}, B, C_{1}, C_{2}, \ldots, C_{m}, D_{1}, D_{2}, \ldots, D_{n}\right) \mapsto \left\{A_{1} \lor  A_{2} \lor  \ldots \lor  A_{l}\lor C_{1} \lor  C_{2} \lor  \ldots \lor  C_{m} \lor B\lor D_{1} \lor  D_{2} \lor  \ldots \lor  D_{n} \textrm{ if } A_{1} \lor  A_{2} \lor  \ldots \lor  A_{l} \lor B\lor C_{1} \lor  C_{2} \lor  \ldots \lor  C_{m}\lor D_{1} \lor  D_{2} \lor  \ldots \lor  D_{n}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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