Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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, i, j, k, l
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Natural, one, subtract

# build up the expression from sub-expressions
expr = ExprTuple(InSet(subtract(k, i), Natural), InSet(subtract(l, j), Natural), Equals(k, Add(j, 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(\left(k - i\right) \in \mathbb{N}, \left(l - j\right) \in \mathbb{N}, k = \left(j + 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	9, 11
5	Literal
6	ExprTuple	10, 11
7	Literal
8	ExprTuple	17, 12
9	Operation	operator: 15 operands: 13
10	Operation	operator: 15 operands: 14
11	Literal
12	Operation	operator: 15 operands: 16
13	ExprTuple	17, 18
14	ExprTuple	19, 20
15	Literal
16	ExprTuple	26, 21
17	Variable
18	Operation	operator: 23 operand: 25
19	Variable
20	Operation	operator: 23 operand: 26
21	Literal
22	ExprTuple	25
23	Literal
24	ExprTuple	26
25	Variable
26	Variable