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^	⊢
	: , : , : , :
1	theorem		⊢
	proveit.core_expr_types.tuples.general_len
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
3	instantiation	10	⊢
	: , :
4	instantiation	10	⊢
	: , :
5	instantiation	10	⊢
	: , :
6	instantiation	13, 11, 12	⊢
	: , : , :
7	instantiation	13, 14, 15	⊢
	: , : , :
8	reference	12	⊢
9	reference	15	⊢
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	37, 17, 27	⊢
	: , : , :
12	instantiation	18, 19, 16, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.sub_left_side_into
14	instantiation	37, 17, 32	⊢
	: , : , :
15	instantiation	18, 19, 20, 21	⊢
	: , : , :
16	instantiation	37, 24, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
18	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
19	instantiation	37, 24, 23	⊢
	: , : , :
20	instantiation	37, 24, 25	⊢
	: , : , :
21	instantiation	26	⊢
	:
22	instantiation	30, 31, 27	⊢
	: , : , :
23	instantiation	37, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	30, 31, 32	⊢
	: , : , :
26	axiom		⊢
	proveit.logic.equality.equals_reflexivity
27	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	37, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
31	instantiation	35, 36	⊢
	: , :
32	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	37, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
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
^*equality replacement requirements