Expression of type And

from the theory of proveit.numbers.exponentiation

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, x, y
from proveit.logic import And, InSet
from proveit.numbers import Less, LessEq, Real, greater, zero

# build up the expression from sub-expressions
expr = And(InSet(a, Real), InSet(x, Real), InSet(y, Real), And(LessEq(zero, x), Less(x, y)).with_total_ordering_style(), greater(a, zero))

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{R}\right) \land \left(x \in \mathbb{R}\right) \land \left(y \in \mathbb{R}\right) \land \left(0 \leq x < y\right) \land \left(a > 0\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, 5, 6
2	Operation	operator: 9 operands: 7
3	Operation	operator: 9 operands: 8
4	Operation	operator: 9 operands: 10
5	Operation	operator: 11 operands: 12
6	Operation	operator: 20 operands: 13
7	ExprTuple	17, 14
8	ExprTuple	23, 14
9	Literal
10	ExprTuple	24, 14
11	Literal
12	ExprTuple	15, 16
13	ExprTuple	22, 17
14	Literal
15	Operation	operator: 18 operands: 19
16	Operation	operator: 20 operands: 21
17	Variable
18	Literal
19	ExprTuple	22, 23
20	Literal
21	ExprTuple	23, 24
22	Literal
23	Variable
24	Variable