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^*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
2	instantiation	21, 5, 6	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
4	instantiation	7, 8	⊢
	:
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
6	instantiation	21, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
8	instantiation	21, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
10	instantiation	21, 13, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
12	instantiation	21, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
14	instantiation	21, 17, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	21, 19, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	21, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements