Expression of type Not

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 A, B, C
from proveit.logic import Not, Or

# build up the expression from sub-expressions
expr = Not(Or(Not(A), Not(B), Not(C)))

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())

\lnot \left((\lnot A) \lor (\lnot B) \lor (\lnot C)\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 10 operand: 2
1	ExprTuple	2
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6, 7
5	Operation	operator: 10 operand: 12
6	Operation	operator: 10 operand: 13
7	Operation	operator: 10 operand: 14
8	ExprTuple	12
9	ExprTuple	13
10	Literal
11	ExprTuple	14
12	Variable
13	Variable
14	Variable