Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

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, N, k, n, vk
from proveit.logic import CartExp, Forall, InSet
from proveit.numbers import Complex, Natural, NaturalPos

# build up the expression from sub-expressions
expr = ExprTuple(InSet(n, NaturalPos), InSet(N, NaturalPos), Forall(instance_param_or_params = [k], instance_expr = InSet(vk, CartExp(Complex, n)), domain = Natural))

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