Expression of type Lambda

from the theory of proveit.linear_algebra.tensors

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, Lambda, fi, i
from proveit.logic import CartExp, InSet
from proveit.numbers import Natural, Real, three

# build up the expression from sub-expressions
expr = Lambda(i, Conditional(InSet(fi, CartExp(Real, three)), InSet(i, Natural)))

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())

i \mapsto \left\{f\left(i\right) \in \mathbb{R}^{3} \textrm{ if } i \in \mathbb{N}\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 14 body: 1
1	Conditional	value: 2 condition: 3
2	Operation	operator: 5 operands: 4
3	Operation	operator: 5 operands: 6
4	ExprTuple	7, 8
5	Literal
6	ExprTuple	14, 9
7	Operation	operator: 10 operand: 14
8	Operation	operator: 12 operands: 13
9	Literal
10	Variable
11	ExprTuple	14
12	Literal
13	ExprTuple	15, 16
14	Variable
15	Literal
16	Literal