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Mirrors > Home > ILE Home > Th. List > pm5.1im | Unicode version |
Description: Two propositions are
equivalent if they are both true. Closed form of
2th 173. Equivalent to a bi1 117-like version of the xor-connective. This
theorem stays true, no matter how you permute its operands. This is
evident from its sharper version ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
pm5.1im |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 6 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | ax-1 6 |
. 2
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3 | 1, 2 | impbid21d 127 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: 2thd 174 pm5.501 243 dcextest 4503 snexxph 6846 |
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