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.multiplication.rightward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	30	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	9	⊢
	: , :
6	instantiation	32, 12, 10	⊢
	: , : , :
7	instantiation	32, 12, 11	⊢
	: , : , :
8	instantiation	32, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10	instantiation	32, 18, 14	⊢
	: , : , :
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	32, 18, 19	⊢
	: , : , :
14	instantiation	32, 20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
16	instantiation	22, 23	⊢
	: , :
17	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	32, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
21	instantiation	26, 27, 28	⊢
	: , :
22	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	32, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
27	instantiation	32, 33, 31	⊢
	: , : , :
28	instantiation	32, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2