Expression of type ExprTuple

from the theory of proveit.numbers.modular

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, a, b
from proveit.logic import Card, InSet
from proveit.numbers import Integer, Interval, LessEq

# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Integer), InSet(b, Integer), LessEq(Card(Interval(a, b)), N))

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{Z}, b \in \mathbb{Z}, |\{a~\ldotp \ldotp~b\}| \leq N\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	17, 9
5	Literal
6	ExprTuple	18, 9
7	Literal
8	ExprTuple	10, 11
9	Literal
10	Operation	operator: 12 operand: 14
11	Variable
12	Literal
13	ExprTuple	14
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17, 18
17	Variable
18	Variable