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	6	⊢
2	instantiation	3, 4, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7	⊢
	: , : , :
5	instantiation	8, 9	⊢
	:
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	10, 11, 12, 13, 14, 15, 16, 17, 18	⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
9	instantiation	32, 23, 19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.mult_zero_any
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	instantiation	20	⊢
	: , : , : , :
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	32, 23, 21	⊢
	: , : , :
16	instantiation	32, 23, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
18	instantiation	32, 23, 24	⊢
	: , : , :
19	instantiation	32, 28, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
21	instantiation	32, 26, 27	⊢
	: , : , :
22	instantiation	32, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	32, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	32, 33, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2