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 InSet
from proveit.numbers import Floor, IntervalCO, Real, one, subtract, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(InSet(subtract(x, Floor(x)), IntervalCO(zero, one)), 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(x - \left\lfloor x\right\rfloor\right) \in \left[0,1\right) \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: 23 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	23, 10
8	Operation	operator: 11 operands: 12
9	Operation	operator: 13 operands: 14
10	Literal
11	Literal
12	ExprTuple	23, 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 18 operand: 20
16	Literal
17	Literal
18	Literal
19	ExprTuple	20
20	Operation	operator: 21 operand: 23
21	Literal
22	ExprTuple	23
23	Variable