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	⊢
	: , : , :
1	reference	7	⊢
2	instantiation	11, 4	⊢
	: , : , :
3	instantiation	5, 6	⊢
	:
4	instantiation	7, 8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
6	instantiation	25, 19, 10	⊢
	: , : , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	11, 12	⊢
	: , : , :
9	instantiation	13, 14	⊢
	:
10	instantiation	25, 15, 16	⊢
	: , : , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	17, 18	⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
14	instantiation	25, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	25, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	25, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	25, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1