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