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, ExprRange, IndexedVar, Variable, m
from proveit.core_expr_types import A_1_to_m
from proveit.logic import And, Not, Or
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = And(Or(A_1_to_m), 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())

\left(A_{1} \lor  A_{2} \lor  \ldots \lor  A_{m}\right)\land (\lnot A_{1}) \land  (\lnot A_{2}) \land  \ldots \land  (\lnot A_{m})

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
3	Operation	operator: 5 operands: 6
4	ExprRange	lambda_map: 7 start_index: 11 end_index: 12
5	Literal
6	ExprTuple	8
7	Lambda	parameter: 18 body: 9
8	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
9	Operation	operator: 13 operand: 15
10	Lambda	parameter: 18 body: 15
11	Literal
12	Variable
13	Literal
14	ExprTuple	15
15	IndexedVar	variable: 16 index: 18
16	Variable
17	ExprTuple	18
18	Variable