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	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
2	instantiation	40, 27, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	40, 36, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	13, 15, 9	⊢
	: , :
7	instantiation	10, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
9	instantiation	13, 23, 24	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	16, 14, 42, 17, 20, 18, 15, 23, 24	⊢
	: , : , : , : , : , :
12	instantiation	16, 17, 42, 18, 19, 20, 21, 22, 23, 24	⊢
	: , : , : , : , : , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	instantiation	40, 27, 25	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.disassociation
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	26	⊢
	: , :
20	instantiation	26	⊢
	: , :
21	instantiation	40, 27, 30	⊢
	: , : , :
22	instantiation	40, 27, 31	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
24	instantiation	40, 27, 28	⊢
	: , : , :
25	instantiation	29, 30, 31	⊢
	: , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	32, 33	⊢
	:
29	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
30	instantiation	40, 34, 35	⊢
	: , : , :
31	instantiation	40, 36, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
33	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	40, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2