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	reference	21	⊢
2	instantiation	21, 3	⊢
	: , : , :
3	instantiation	21, 4	⊢
	: , : , :
4	instantiation	15, 5, 6	⊢
	: , : , :
5	instantiation	21, 7	⊢
	: , : , :
6	instantiation	8, 9, 10, 11, 24, 12, 13, 14	⊢
	: , : , : , :
7	instantiation	15, 16, 17	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
11	instantiation	18	⊢
	: , : , :
12	instantiation	33, 27, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
14	instantiation	33, 27, 20	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	21, 22	⊢
	: , : , :
17	instantiation	23, 24	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	instantiation	33, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
21	axiom		⊢
	proveit.logic.equality.substitution
22	theorem		⊢
	proveit.numbers.negation.negated_zero
23	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
24	instantiation	33, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	33, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	33, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2