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, 5, 6, 7, 8, 9^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	reference	33	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	reference	18	⊢
8	instantiation	31, 20, 11	⊢
	: , : , :
9	instantiation	12, 18, 13, 14^, 15^	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	31, 27, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
14	instantiation	17, 18	⊢
	:
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
16	instantiation	31, 29, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
18	instantiation	31, 20, 21	⊢
	: , : , :
19	instantiation	31, 32, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	23, 24, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
25	instantiation	31, 27, 28	⊢
	: , : , :
26	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	31, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements