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, ExprTuple, Lambda
from proveit.core_expr_types import A_1_to_m
from proveit.logic import Equals, Or

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A_1_to_m, B], Equals(Or(A_1_to_m, B), Or(Or(A_1_to_m), B)).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())

\left(\left(A_{1}, A_{2}, \ldots, A_{m}, B\right) \mapsto \left(\begin{array}{c} \begin{array}{l} \left(A_{1} \lor  A_{2} \lor  \ldots \lor  A_{m} \lor B\right) =  \\ \left(\left(A_{1} \lor  A_{2} \lor  \ldots \lor  A_{m}\right) \lor B\right) \end{array} \end{array}\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	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 11 operands: 7
6	Operation	operator: 11 operands: 8
7	ExprTuple	13, 10
8	ExprTuple	9, 10
9	Operation	operator: 11 operands: 12
10	Variable
11	Literal
12	ExprTuple	13
13	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
14	Lambda	parameter: 20 body: 17
15	Literal
16	Variable
17	IndexedVar	variable: 18 index: 20
18	Variable
19	ExprTuple	20
20	Variable