Expression of type ExprTuple

from the theory of proveit.logic.equality

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, Function, a, alpha, b, beta, h, n, theta
from proveit.logic import Equals, Forall
from proveit.numbers import Natural

# build up the expression from sub-expressions
sub_expr1 = [n]
expr = ExprTuple(Forall(instance_param_or_params = sub_expr1, instance_expr = Equals(Function(h, sub_expr1), Function(theta, sub_expr1)), domain = Natural), Equals([a, b], [alpha, beta]))

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(\forall_{n \in \mathbb{N}}~\left(h\left(n\right) = \theta\left(n\right)\right), \left(a, b\right) = \left(\alpha, \beta\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
1	Operation	operator: 3 operand: 6
2	Operation	operator: 16 operands: 5
3	Literal
4	ExprTuple	6
5	ExprTuple	7, 8
6	Lambda	parameter: 26 body: 9
7	ExprTuple	10, 11
8	ExprTuple	12, 13
9	Conditional	value: 14 condition: 15
10	Variable
11	Variable
12	Variable
13	Variable
14	Operation	operator: 16 operands: 17
15	Operation	operator: 18 operands: 19
16	Literal
17	ExprTuple	20, 21
18	Literal
19	ExprTuple	26, 22
20	Operation	operator: 23 operand: 26
21	Operation	operator: 24 operand: 26
22	Literal
23	Variable
24	Variable
25	ExprTuple	26
26	Variable