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^	, ⊢
	: , : , :
1	theorem		⊢
	proveit.trigonometry.complex_circle_chord_length
2	instantiation	35, 7, 27	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	reference	34	⊢
5	instantiation	17, 8, 9	⊢
	: , : , :
6	instantiation	17, 10, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonneg
8	instantiation	23, 12	⊢
	: , : , :
9	instantiation	13, 14	⊢
	:
10	instantiation	23, 15	⊢
	: , : , :
11	instantiation	16, 29	⊢
	:
12	instantiation	17, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
14	instantiation	35, 33, 20	⊢
	: , : , :
15	instantiation	21, 22	⊢
	:
16	theorem		⊢
	proveit.numbers.absolute_value.abs_even
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	23, 24	⊢
	: , : , :
19	instantiation	25, 26	⊢
	:
20	instantiation	35, 36, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.elim_zero_left
22	instantiation	28, 29	⊢
	:
23	axiom		⊢
	proveit.logic.equality.substitution
24	instantiation	30, 31	⊢
	:
25	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
26	instantiation	35, 33, 32	⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.negation.complex_closure
29	instantiation	35, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
32	instantiation	35, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	assumption		⊢
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
^*equality replacement requirements