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.exponentiation.exp_zero_eq_one
2	instantiation	3, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
4	instantiation	42, 29, 6	⊢
	: , : , :
5	instantiation	7, 8, 9	⊢
	: , : , :
6	instantiation	42, 38, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.sub_right_side_into
8	instantiation	15, 17, 11	⊢
	: , :
9	instantiation	12, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
11	instantiation	15, 25, 26	⊢
	: , :
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	18, 16, 44, 19, 22, 20, 17, 25, 26	⊢
	: , : , : , : , : , :
14	instantiation	18, 19, 44, 20, 21, 22, 23, 24, 25, 26	⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
17	instantiation	42, 29, 27	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.disassociation
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	28	⊢
	: , :
22	instantiation	28	⊢
	: , :
23	instantiation	42, 29, 32	⊢
	: , : , :
24	instantiation	42, 29, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
26	instantiation	42, 29, 30	⊢
	: , : , :
27	instantiation	31, 32, 33	⊢
	: , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	34, 35	⊢
	:
31	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
32	instantiation	42, 36, 37	⊢
	: , : , :
33	instantiation	42, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
35	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	42, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2