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	reference	31	⊢
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	instantiation	11	⊢
	: , :
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	36, 21, 12	⊢
	: , : , :
8	instantiation	36, 21, 13	⊢
	: , : , :
9	instantiation	36, 21, 14	⊢
	: , : , :
10	instantiation	15, 16	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	36, 27, 17	⊢
	: , : , :
13	instantiation	36, 27, 18	⊢
	: , : , :
14	instantiation	19, 20, 35	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	36, 21, 22	⊢
	: , : , :
17	instantiation	36, 32, 23	⊢
	: , : , :
18	instantiation	36, 32, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
20	instantiation	25, 26	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	36, 27, 28	⊢
	: , : , :
23	instantiation	29, 30	⊢
	:
24	instantiation	36, 37, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	36, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	36, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	36, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	assumption		⊢
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1