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