Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	reference	4	⊢
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	9, 7	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	9, 8	⊢
	: , : , :
6	instantiation	9, 10	⊢
	: , : , :
7	instantiation	11, 12	⊢
	: , :
8	instantiation	14, 13, 17	⊢
	: , :
9	axiom		⊢
	proveit.logic.equality.substitution
10	instantiation	14, 15, 17	⊢
	: , :
11	theorem		⊢
	proveit.logic.equality.equals_reversal
12	instantiation	16, 17	⊢
	:
13	instantiation	29, 20, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.commutation
15	instantiation	29, 20, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.mult_neg_one_right
17	instantiation	29, 20, 21	⊢
	: , : , :
18	instantiation	29, 23, 22	⊢
	: , : , :
19	instantiation	29, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	assumption		⊢
22	instantiation	29, 26, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	29, 26, 27	⊢
	: , : , :
25	instantiation	29, 30, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	29, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat3