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