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, c, f, fa, fx, x
from proveit.logic import Equals, Implies

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([f, x, a, c], Implies(Equals(x, a), Implies(Equals(fa, c), Equals(fx, 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, a, c\right) \mapsto \left(\left(x = a\right) \Rightarrow \left(\left(f\left(a\right) = c\right) \Rightarrow \left(f\left(x\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	19, 22, 21, 17
3	Operation	operator: 8 operands: 4
4	ExprTuple	5, 6
5	Operation	operator: 13 operands: 7
6	Operation	operator: 8 operands: 9
7	ExprTuple	22, 21
8	Literal
9	ExprTuple	10, 11
10	Operation	operator: 13 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 17
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 19 operand: 21
16	Operation	operator: 19 operand: 22
17	Variable
18	ExprTuple	21
19	Variable
20	ExprTuple	22
21	Variable
22	Variable