Expression of type Lambda

from the theory of proveit.logic.booleans

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 A, C, Conditional, Lambda
from proveit.logic import And, Boolean, Implies, InSet, Not

# build up the expression from sub-expressions
expr = Lambda(A, Conditional(C, And(InSet(A, Boolean), Implies(A, C), Implies(Not(A), C))))

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())

A \mapsto \left\{C \textrm{ if } A \in \mathbb{B} ,  A \Rightarrow C ,  (\lnot A) \Rightarrow C\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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