Expression of type ExprTuple

from the theory of proveit.logic.equality

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 ExprTuple, Lambda, a, b, c, f, fab, fxy, x, y
from proveit.logic import And, Equals, Implies

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([f, x, y, a, b, c], Implies(And(Equals(x, a), Equals(y, b)), Implies(Equals(fab, c), Equals(fxy, 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())

\left(\left(f, x, y, a, b, c\right) \mapsto \left(\left(\left(x = a\right) \land \left(y = b\right)\right) \Rightarrow \left(\left(f\left(a, b\right) = c\right) \Rightarrow \left(f\left(x, y\right) = c\right)\right)\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 2 body: 3
2	ExprTuple	24, 28, 29, 26, 27, 22
3	Operation	operator: 9 operands: 4
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operands: 10
7	Literal
8	ExprTuple	11, 12
9	Literal
10	ExprTuple	13, 14
11	Operation	operator: 18 operands: 15
12	Operation	operator: 18 operands: 16
13	Operation	operator: 18 operands: 17
14	Operation	operator: 18 operands: 19
15	ExprTuple	28, 26
16	ExprTuple	29, 27
17	ExprTuple	20, 22
18	Literal
19	ExprTuple	21, 22
20	Operation	operator: 24 operands: 23
21	Operation	operator: 24 operands: 25
22	Variable
23	ExprTuple	26, 27
24	Variable
25	ExprTuple	28, 29
26	Variable
27	Variable
28	Variable
29	Variable