Expression of type Lambda

from the theory of proveit.logic.booleans.conjunction

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 C, Conditional, Lambda
from proveit.core_expr_types import A_1_to_l, B_1_to_m, D_1_to_n
from proveit.logic import And

# build up the expression from sub-expressions
expr = Lambda([A_1_to_l, B_1_to_m, C, D_1_to_n], Conditional(And(A_1_to_l, C, B_1_to_m, D_1_to_n), And(A_1_to_l, B_1_to_m, C, 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(A_{1}, A_{2}, \ldots, A_{l}, B_{1}, B_{2}, \ldots, B_{m}, C, D_{1}, D_{2}, \ldots, D_{n}\right) \mapsto \left\{A_{1} \land  A_{2} \land  \ldots \land  A_{l} \land C\land B_{1} \land  B_{2} \land  \ldots \land  B_{m}\land D_{1} \land  D_{2} \land  \ldots \land  D_{n} \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{l}, B_{1} ,  B_{2} ,  \ldots ,  B_{m} ,  C, D_{1} ,  D_{2} ,  \ldots ,  D_{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: 6 body: 1
1	Conditional	value: 2 condition: 3
2	Operation	operator: 5 operands: 4
3	Operation	operator: 5 operands: 6
4	ExprTuple	7, 9, 8, 10
5	Literal
6	ExprTuple	7, 8, 9, 10
7	ExprRange	lambda_map: 11 start_index: 16 end_index: 12
8	ExprRange	lambda_map: 13 start_index: 16 end_index: 14
9	Variable
10	ExprRange	lambda_map: 15 start_index: 16 end_index: 17
11	Lambda	parameter: 25 body: 18
12	Variable
13	Lambda	parameter: 25 body: 19
14	Variable
15	Lambda	parameter: 25 body: 20
16	Literal
17	Variable
18	IndexedVar	variable: 21 index: 25
19	IndexedVar	variable: 22 index: 25
20	IndexedVar	variable: 23 index: 25
21	Variable
22	Variable
23	Variable
24	ExprTuple	25
25	Variable