Expression of type Lambda

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 Conditional, Lambda
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 = Lambda([A_1_to_l, B_1_to_m, C_1_to_n], Conditional(Or(A_1_to_l, Or(B_1_to_m), C_1_to_n), Or(A_1_to_l, 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())

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

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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