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, x
from proveit.logic import Equals, InSet
from proveit.numbers import Ceil, Floor, Real

# build up the expression from sub-expressions
sub_expr1 = Floor(x)
expr = ExprTuple(Lambda(x, Conditional(Equals(Ceil(sub_expr1), sub_expr1), InSet(x, Real))))

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(x \mapsto \left\{\left\lceil \left\lfloor x\right\rfloor\right\rceil = \left\lfloor x\right\rfloor \textrm{ if } x \in \mathbb{R}\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: 16 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 13
7	Literal
8	ExprTuple	16, 10
9	Operation	operator: 11 operand: 13
10	Literal
11	Literal
12	ExprTuple	13
13	Operation	operator: 14 operand: 16
14	Literal
15	ExprTuple	16
16	Variable