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^*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.products_of_pos_powers
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	9	⊢
	: , : , :
4	reference	14	⊢
5	instantiation	24, 11, 10	⊢
	: , : , :
6	instantiation	24, 11, 12	⊢
	: , : , :
7	assumption		⊢
8	instantiation	13, 14	⊢
	:
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10	instantiation	24, 16, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
12	instantiation	24, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
14	instantiation	24, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	24, 20, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	24, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	24, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements