Expression of type ExprTuple

from the theory of proveit.numbers.rounding

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 Conditional, ExprTuple, Lambda, n, x
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Floor, Integer

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(n, Conditional(Equals(Floor(Add(x, n)), Add(Floor(x), n)), InSet(n, Integer))))

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 \mapsto \left\{\left\lfloor x + n\right\rfloor = \left(\left\lfloor x\right\rfloor + n\right) \textrm{ if } n \in \mathbb{Z}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 21 body: 3
2	ExprTuple	21
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	21, 12
10	Operation	operator: 19 operand: 15
11	Operation	operator: 17 operands: 14
12	Literal
13	ExprTuple	15
14	ExprTuple	16, 21
15	Operation	operator: 17 operands: 18
16	Operation	operator: 19 operand: 22
17	Literal
18	ExprTuple	22, 21
19	Literal
20	ExprTuple	22
21	Variable
22	Variable