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