Expression of type ExprTuple

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 B, Conditional, ExprTuple, Lambda
from proveit.core_expr_types import A_1_to_m, C_1_to_n
from proveit.logic import And, Not

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A_1_to_m, B, C_1_to_n], Conditional(Not(And(A_1_to_m, B, C_1_to_n)), Not(B))))

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, C_{1}, C_{2}, \ldots, C_{n}\right) \mapsto \left\{\lnot \left(A_{1} \land  A_{2} \land  \ldots \land  A_{m} \land B\land C_{1} \land  C_{2} \land  \ldots \land  C_{n}\right) \textrm{ if } \lnot B\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: 10 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operand: 8
4	Operation	operator: 6 operand: 12
5	ExprTuple	8
6	Literal
7	ExprTuple	12
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 12, 13
11	ExprRange	lambda_map: 14 start_index: 17 end_index: 15
12	Variable
13	ExprRange	lambda_map: 16 start_index: 17 end_index: 18
14	Lambda	parameter: 24 body: 19
15	Variable
16	Lambda	parameter: 24 body: 20
17	Literal
18	Variable
19	IndexedVar	variable: 21 index: 24
20	IndexedVar	variable: 22 index: 24
21	Variable
22	Variable
23	ExprTuple	24
24	Variable