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	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	37	⊢
3	reference	30	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	9	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	35, 15, 10	⊢
	: , : , :
8	instantiation	11, 12	⊢
	:
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10	instantiation	19, 20, 13, 14	⊢
	: , :
11	theorem		⊢
	proveit.numbers.negation.complex_closure
12	instantiation	35, 15, 16	⊢
	: , : , :
13	instantiation	35, 24, 17	⊢
	: , : , :
14	instantiation	28, 18	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	19, 20, 21, 22	⊢
	: , :
17	instantiation	35, 31, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
19	theorem		⊢
	proveit.numbers.division.div_real_closure
20	instantiation	35, 24, 25	⊢
	: , : , :
21	instantiation	26, 27, 29	⊢
	: , : , :
22	instantiation	28, 29	⊢
	:
23	instantiation	35, 36, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	35, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	33, 34	⊢
	: , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	35, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1