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 Conditional, Lambda
from proveit.core_expr_types import A_1_to_l, B_1_to_m, C_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_1_to_n], Conditional(And(A_1_to_l, B_1_to_m, C_1_to_n), And(A_1_to_l, And(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} \land  A_{2} \land  \ldots \land  A_{l}\land B_{1} \land  B_{2} \land  \ldots \land  B_{m}\land C_{1} \land  C_{2} \land  \ldots \land  C_{n} \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{l} ,  B_{1} \land  B_{2} \land  \ldots \land  B_{m}, C_{1} ,  C_{2} ,  \ldots ,  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: 4 body: 1
1	Conditional	value: 2 condition: 3
2	Operation	operator: 11 operands: 4
3	Operation	operator: 11 operands: 5
4	ExprTuple	6, 16, 8
5	ExprTuple	6, 7, 8
6	ExprRange	lambda_map: 9 start_index: 20 end_index: 10
7	Operation	operator: 11 operands: 12
8	ExprRange	lambda_map: 13 start_index: 20 end_index: 14
9	Lambda	parameter: 26 body: 15
10	Variable
11	Literal
12	ExprTuple	16
13	Lambda	parameter: 26 body: 17
14	Variable
15	IndexedVar	variable: 18 index: 26
16	ExprRange	lambda_map: 19 start_index: 20 end_index: 21
17	IndexedVar	variable: 22 index: 26
18	Variable
19	Lambda	parameter: 26 body: 23
20	Literal
21	Variable
22	Variable
23	IndexedVar	variable: 24 index: 26
24	Variable
25	ExprTuple	26
26	Variable