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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	39	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	37, 10, 8	⊢
	: , : , :
6	instantiation	37, 10, 9	⊢
	: , : , :
7	instantiation	37, 10, 24	⊢
	: , : , :
8	instantiation	11, 12, 31	⊢
	: , :
9	instantiation	37, 33, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
11	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
12	instantiation	37, 14, 15	⊢
	: , : , :
13	instantiation	37, 35, 16	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
15	instantiation	17, 18, 19	⊢
	: , :
16	instantiation	37, 38, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
18	instantiation	37, 21, 22	⊢
	: , : , :
19	instantiation	23, 24, 25	⊢
	:
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
22	instantiation	37, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
24	instantiation	28, 30, 31, 32	⊢
	: , : , :
25	instantiation	29, 30, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
31	instantiation	37, 33, 34	⊢
	: , : , :
32	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	37, 35, 36	⊢
	: , : , :
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