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, 4, 5, 6, 7, 8, 9, 10	, ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	reference	29	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , : , :
7	instantiation	33, 18, 12	⊢
	: , : , :
8	instantiation	13, 14	⊢
	:
9	instantiation	33, 18, 15	⊢
	: , : , :
10	instantiation	33, 18, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	instantiation	33, 23, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	instantiation	33, 18, 19	⊢
	: , : , :
15	instantiation	33, 23, 20	⊢
	: , : , :
16	instantiation	33, 23, 21	⊢
	: , : , :
17	instantiation	33, 27, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	33, 23, 24	⊢
	: , : , :
20	instantiation	33, 27, 25	⊢
	: , : , :
21	instantiation	33, 27, 26	⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	33, 27, 31	⊢
	: , : , :
25	instantiation	33, 28, 29	⊢
	: , : , :
26	instantiation	30, 31, 32	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
31	assumption		⊢
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
35	instantiation	36, 37	⊢
	:
36	theorem		⊢
	proveit.numbers.negation.int_neg_closure
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1