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, Less, LessEq, Real, one, subtract

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

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 \leq \left(y - 1\right) \textrm{ if } x \in \mathbb{R} ,  y \in \mathbb{Z} ,  x < y\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: 22 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	11, 12, 13
9	Operation	operator: 14 operand: 26
10	Operation	operator: 16 operands: 17
11	Operation	operator: 19 operands: 18
12	Operation	operator: 19 operands: 20
13	Operation	operator: 21 operands: 22
14	Literal
15	ExprTuple	26
16	Literal
17	ExprTuple	27, 23
18	ExprTuple	26, 24
19	Literal
20	ExprTuple	27, 25
21	Literal
22	ExprTuple	26, 27
23	Operation	operator: 28 operand: 30
24	Literal
25	Literal
26	Variable
27	Variable
28	Literal
29	ExprTuple	30
30	Literal