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

# build up the expression from sub-expressions
expr = ExprTuple(InSet(subtract(subtract(j, one), i), Natural), Equals(k, subtract(i, a)), Equals(l, subtract(j, a)))

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(\left(j - 1\right) - i\right) \in \mathbb{N}, k = \left(i - a\right), l = \left(j - a\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: 4 operands: 5
2	Operation	operator: 7 operands: 6
3	Operation	operator: 7 operands: 8
4	Literal
5	ExprTuple	9, 10
6	ExprTuple	11, 12
7	Literal
8	ExprTuple	13, 14
9	Operation	operator: 21 operands: 15
10	Literal
11	Variable
12	Operation	operator: 21 operands: 16
13	Variable
14	Operation	operator: 21 operands: 17
15	ExprTuple	18, 19
16	ExprTuple	27, 20
17	ExprTuple	25, 20
18	Operation	operator: 21 operands: 22
19	Operation	operator: 29 operand: 27
20	Operation	operator: 29 operand: 28
21	Literal
22	ExprTuple	25, 26
23	ExprTuple	27
24	ExprTuple	28
25	Variable
26	Operation	operator: 29 operand: 31
27	Variable
28	Variable
29	Literal
30	ExprTuple	31
31	Literal