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, beta, fi, gamma, i
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
sub_expr1 = InSet(i, Interval(two, four))
expr = Lambda(i, Equals(Conditional(ScalarMult(ScalarMult(gamma, beta), fi), sub_expr1), Conditional(ScalarMult(Mult(gamma, beta), fi), sub_expr1)))

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

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 26 body: 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5
4	Conditional	value: 6 condition: 8
5	Conditional	value: 7 condition: 8
6	Operation	operator: 17 operands: 9
7	Operation	operator: 17 operands: 10
8	Operation	operator: 11 operands: 12
9	ExprTuple	13, 15
10	ExprTuple	14, 15
11	Literal
12	ExprTuple	26, 16
13	Operation	operator: 17 operands: 19
14	Operation	operator: 18 operands: 19
15	Operation	operator: 20 operand: 26
16	Operation	operator: 22 operands: 23
17	Literal
18	Literal
19	ExprTuple	24, 25
20	Variable
21	ExprTuple	26
22	Literal
23	ExprTuple	27, 28
24	Variable
25	Variable
26	Variable
27	Literal
28	Literal