Expression of type Not

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, ExprRange, IndexedVar, Variable, m
from proveit.logic import And, Not
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Not(And(ExprRange(sub_expr1, Not(IndexedVar(A, sub_expr1)), one, m)))

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_{1}) \land  (\lnot A_{2}) \land  \ldots \land  (\lnot A_{m})\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
5	ExprRange	lambda_map: 6 start_index: 7 end_index: 8
6	Lambda	parameter: 15 body: 9
7	Literal
8	Variable
9	Operation	operator: 10 operand: 12
10	Literal
11	ExprTuple	12
12	IndexedVar	variable: 13 index: 15
13	Variable
14	ExprTuple	15
15	Variable