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	7, 10, 50, 13, 16, 15, 17	⊢
	: , : , : , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	9, 10, 42, 50, 13, 11, 14, 15, 8	⊢
	: , : , : , : , : , :
6	instantiation	9, 42, 10, 11, 12, 13, 14, 15, 16, 17	⊢
	: , : , : , : , : , :
7	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
8	instantiation	48, 30, 18	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	19	⊢
	: , :
12	instantiation	19	⊢
	: , :
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	48, 30, 20	⊢
	: , : , :
15	instantiation	48, 30, 21	⊢
	: , : , :
16	instantiation	48, 30, 22	⊢
	: , : , :
17	instantiation	23, 24	⊢
	:
18	instantiation	48, 37, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	instantiation	48, 37, 26	⊢
	: , : , :
21	instantiation	48, 37, 27	⊢
	: , : , :
22	instantiation	28, 29, 47	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	instantiation	48, 30, 31	⊢
	: , : , :
25	instantiation	48, 43, 32	⊢
	: , : , :
26	instantiation	48, 43, 33	⊢
	: , : , :
27	instantiation	48, 43, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	35, 36	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	48, 37, 38	⊢
	: , : , :
32	instantiation	39, 41, 40	⊢
	: , :
33	instantiation	44, 41	⊢
	:
34	instantiation	48, 49, 42	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	48, 43, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	44, 45	⊢
	:
41	instantiation	48, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	48, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
47	assumption		⊢
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1