Expression of type Lambda

from the theory of proveit.numbers.addition.subtraction

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, a, b, c
from proveit.logic import And, Equals, InSet
from proveit.numbers import Add, Complex, Neg

# build up the expression from sub-expressions
expr = Lambda([a, b, c], Conditional(Equals(Add(a, c, Neg(b)), c), And(InSet(a, Complex), InSet(b, Complex), InSet(c, Complex), Equals(a, b))))

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(a, b, c\right) \mapsto \left\{\left(a + c - b\right) = c \textrm{ if } a \in \mathbb{C} ,  b \in \mathbb{C} ,  c \in \mathbb{C} ,  a = b\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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