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.numbers.multiplication.mult_neg_any
2	reference	12	⊢
3	reference	41	⊢
4	reference	13	⊢
5	reference	14	⊢
6	instantiation	39, 25, 10	⊢
	: , : , :
7	reference	15	⊢
8	reference	16	⊢
9	instantiation	11, 12, 41, 13, 14, 15, 16	⊢
	: , : , : , :
10	instantiation	39, 30, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	18	⊢
	: , :
15	instantiation	19, 20, 21	⊢
	: , :
16	instantiation	39, 25, 22	⊢
	: , : , :
17	instantiation	39, 35, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	instantiation	39, 25, 24	⊢
	: , : , :
21	instantiation	39, 25, 26	⊢
	: , : , :
22	instantiation	27, 28	⊢
	:
23	instantiation	39, 40, 29	⊢
	: , : , :
24	instantiation	39, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	32, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
28	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	39, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
33	instantiation	37, 38	⊢
	: , :
34	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements