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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
2	instantiation	5, 6	⊢
	:
3	instantiation	7, 8, 9	⊢
	: , :
4	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
5	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
7	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
8	instantiation	42, 34, 10	⊢
	: , : , :
9	instantiation	11, 12, 13	⊢
	: , : , :
10	instantiation	42, 38, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.sub_right_side_into
12	instantiation	28, 20, 15	⊢
	: , :
13	instantiation	16, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
15	instantiation	28, 26, 27	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	21, 19, 44, 22, 25, 23, 20, 26, 27	⊢
	: , : , : , : , : , :
18	instantiation	21, 22, 44, 23, 24, 25, 29, 30, 26, 27	⊢
	: , : , : , : , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	instantiation	28, 29, 30	⊢
	: , :
21	theorem		⊢
	proveit.numbers.multiplication.disassociation
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	31	⊢
	: , :
25	instantiation	31	⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
27	instantiation	42, 34, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
29	instantiation	42, 34, 33	⊢
	: , : , :
30	instantiation	42, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
33	instantiation	42, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	42, 38, 39	⊢
	: , : , :
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