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^*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
2	reference	23	⊢
3	reference	33	⊢
4	reference	31	⊢
5	instantiation	8, 33, 9	⊢
	: , :
6	instantiation	10, 11	⊢
	: , :
7	instantiation	12, 13	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	instantiation	44, 36, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.equality.equals_reversal
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
13	instantiation	44, 32, 18	⊢
	: , : , :
14	instantiation	44, 40, 19	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
18	instantiation	44, 22, 23	⊢
	: , : , :
19	instantiation	24, 39	⊢
	:
20	axiom		⊢
	proveit.logic.equality.substitution
21	instantiation	25, 26, 27, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.negation.int_closure
25	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
26	instantiation	44, 32, 30	⊢
	: , : , :
27	instantiation	44, 32, 31	⊢
	: , : , :
28	instantiation	44, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
30	instantiation	44, 36, 34	⊢
	: , : , :
31	instantiation	44, 36, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	44, 36, 37	⊢
	: , : , :
34	instantiation	44, 40, 38	⊢
	: , : , :
35	instantiation	44, 40, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	44, 40, 41	⊢
	: , : , :
38	instantiation	44, 45, 42	⊢
	: , : , :
39	instantiation	44, 45, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	44, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements