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^	⊢
	: , :
1	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.complex_polar_negation
2	reference	18	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	6, 7	⊢
	:
5	instantiation	15, 8, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.elim_zero_left
7	instantiation	33, 27, 10	⊢
	: , : , :
8	instantiation	19, 11	⊢
	: , : , :
9	instantiation	12, 13	⊢
	:
10	instantiation	33, 31, 14	⊢
	: , : , :
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
13	instantiation	33, 27, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	19, 20	⊢
	: , : , :
17	instantiation	21, 22	⊢
	:
18	instantiation	33, 23, 24	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.substitution
20	instantiation	25, 26	⊢
	:
21	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
22	instantiation	33, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	33, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	33, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	33, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements