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, y
from proveit.logic import And, InSet
from proveit.numbers import Floor, Integer, LessEq, Real, greater_eq

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], Conditional(greater_eq(Floor(x), y), And(InSet(x, Real), InSet(y, Integer), LessEq(y, x)))))

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(\left(x, y\right) \mapsto \left\{\left\lfloor x\right\rfloor \geq y \textrm{ if } x \in \mathbb{R} ,  y \in \mathbb{Z} ,  y \leq x\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	parameters: 2 body: 3
2	ExprTuple	23, 22
3	Conditional	value: 4 condition: 5
4	Operation	operator: 18 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	22, 9
7	Literal
8	ExprTuple	10, 11, 12
9	Operation	operator: 13 operand: 23
10	Operation	operator: 16 operands: 15
11	Operation	operator: 16 operands: 17
12	Operation	operator: 18 operands: 19
13	Literal
14	ExprTuple	23
15	ExprTuple	23, 20
16	Literal
17	ExprTuple	22, 21
18	Literal
19	ExprTuple	22, 23
20	Literal
21	Literal
22	Variable
23	Variable