Expression of type And

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
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 = And(A_1_to_l, C, B_1_to_m, 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())

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}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

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