Expression of type ExprTuple

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 ExprTuple, a_star, b_star
from proveit.logic import And, Equals, InSet
from proveit.numbers import Abs, GCD, NaturalPos, frac, one, sqrt, two

# build up the expression from sub-expressions
expr = ExprTuple(InSet(a_star, NaturalPos), InSet(b_star, NaturalPos), And(Equals(Abs(sqrt(two)), frac(a_star, b_star)), Equals(GCD(a_star, b_star), one)))

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{N}^+, b^* \in \mathbb{N}^+, \left(\left|\sqrt{2}\right| = \frac{a^*}{b^*}\right) \land \left(gcd\left(a^*, b^*\right) = 1\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2, 3
1	Operation	operator: 5 operands: 4
2	Operation	operator: 5 operands: 6
3	Operation	operator: 7 operands: 8
4	ExprTuple	23, 9
5	Literal
6	ExprTuple	24, 9
7	Literal
8	ExprTuple	10, 11
9	Literal
10	Operation	operator: 13 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 16
13	Literal
14	ExprTuple	17, 30
15	Operation	operator: 18 operand: 22
16	Operation	operator: 28 operands: 21
17	Operation	operator: 20 operands: 21
18	Literal
19	ExprTuple	22
20	Literal
21	ExprTuple	23, 24
22	Operation	operator: 25 operands: 26
23	Variable
24	Variable
25	Literal
26	ExprTuple	31, 27
27	Operation	operator: 28 operands: 29
28	Literal
29	ExprTuple	30, 31
30	Literal
31	Literal