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