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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	37, 4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
5	instantiation	9, 27, 30	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	10, 15, 14, 17, 16, 11, 18, 19, 12, 21	⊢
	: , : , : , : , : , :
8	instantiation	13, 14, 15, 16, 17, 18, 19, 21	⊢
	: , : , : , : , : , : , : , :
9	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
10	theorem		⊢
	proveit.numbers.addition.disassociation
11	instantiation	22	⊢
	: , :
12	instantiation	20, 21	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	instantiation	22	⊢
	: , :
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	37, 25, 23	⊢
	: , : , :
19	instantiation	37, 25, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	37, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	instantiation	28, 29, 27	⊢
	: , : , :
24	instantiation	28, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	37, 31, 32	⊢
	: , : , :
27	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	33, 34	⊢
	: , :
30	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	37, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1