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	⊢
	:
1	theorem		⊢
	proveit.numbers.negation.complex_closure
2	instantiation	3, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.logic.equality.sub_right_side_into
4	instantiation	30, 17, 6	⊢
	: , : , :
5	instantiation	7, 8, 32, 9, 10, 11, 12, 13, 14	⊢
	: , : , : , : , : , :
6	instantiation	19, 15, 18	⊢
	: , :
7	theorem		⊢
	proveit.numbers.multiplication.disassociation
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	16	⊢
	: , :
12	instantiation	30, 17, 20	⊢
	: , : , :
13	instantiation	30, 17, 21	⊢
	: , : , :
14	instantiation	30, 17, 18	⊢
	: , : , :
15	instantiation	19, 20, 21	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
20	instantiation	30, 24, 25	⊢
	: , : , :
21	instantiation	30, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
23	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	30, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2