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, Less, Real, one, subtract

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Less(subtract(x, Floor(x)), 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) < 1 \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: 20 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, 10
7	Literal
8	ExprTuple	20, 11
9	Operation	operator: 12 operands: 13
10	Literal
11	Literal
12	Literal
13	ExprTuple	20, 14
14	Operation	operator: 15 operand: 17
15	Literal
16	ExprTuple	17
17	Operation	operator: 18 operand: 20
18	Literal
19	ExprTuple	20
20	Variable