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, gamma, i, y
from proveit.linear_algebra import ScalarMult
from proveit.logic import Equals, InSet
from proveit.numbers import Interval, Mult, four, two

# build up the expression from sub-expressions
expr = Lambda(i, Conditional(Equals(ScalarMult(ScalarMult(gamma, i), y), ScalarMult(Mult(gamma, i), y)), InSet(i, Interval(two, four))))

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\{\left(\left(\gamma \cdot i\right) \cdot y\right) = \left(\left(\gamma \cdot i\right) \cdot y\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 25 body: 2
1	ExprTuple	25
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	25, 11
9	Operation	operator: 21 operands: 12
10	Operation	operator: 21 operands: 13
11	Operation	operator: 14 operands: 15
12	ExprTuple	16, 18
13	ExprTuple	17, 18
14	Literal
15	ExprTuple	19, 20
16	Operation	operator: 21 operands: 23
17	Operation	operator: 22 operands: 23
18	Variable
19	Literal
20	Literal
21	Literal
22	Literal
23	ExprTuple	24, 25
24	Variable
25	Variable