Expression of type And

from the theory of proveit.numbers.modular

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 N, x
from proveit.logic import And, InSet
from proveit.numbers import LessEq, Real, RealPos, frac, two, zero

# build up the expression from sub-expressions
expr = And(InSet(x, Real), InSet(N, RealPos), And(LessEq(zero, x), LessEq(x, frac(N, two))).with_total_ordering_style())

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(x \in \mathbb{R}\right) \land \left(N \in \mathbb{R}^+\right) \land \left(0 \leq x \leq \frac{N}{2}\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: 8 operands: 1
1	ExprTuple	2, 3, 4
2	Operation	operator: 6 operands: 5
3	Operation	operator: 6 operands: 7
4	Operation	operator: 8 operands: 9
5	ExprTuple	18, 10
6	Literal
7	ExprTuple	22, 11
8	Literal
9	ExprTuple	12, 13
10	Literal
11	Literal
12	Operation	operator: 15 operands: 14
13	Operation	operator: 15 operands: 16
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	18, 19
17	Literal
18	Variable
19	Operation	operator: 20 operands: 21
20	Literal
21	ExprTuple	22, 23
22	Variable
23	Literal