Expression of type And

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 A, B
from proveit.logic import And, Boolean, InSet, Not

# build up the expression from sub-expressions
expr = And(InSet(A, Boolean), InSet(B, Boolean), Not(And(Not(A), 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(A \in \mathbb{B}\right) \land \left(B \in \mathbb{B}\right) \land (\lnot \left((\lnot A) \land (\lnot B)\right))

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: 11 operands: 1
1	ExprTuple	2, 3, 4
2	Operation	operator: 6 operands: 5
3	Operation	operator: 6 operands: 7
4	Operation	operator: 16 operand: 10
5	ExprTuple	18, 9
6	Literal
7	ExprTuple	19, 9
8	ExprTuple	10
9	Literal
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Operation	operator: 16 operand: 18
14	Operation	operator: 16 operand: 19
15	ExprTuple	18
16	Literal
17	ExprTuple	19
18	Variable
19	Variable