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Mirrors > Home > ILE Home > Th. List > simplimdc | Unicode version |
Description: Simplification for a decidable proposition. Similar to Theorem *3.26 (Simp) of [WhiteheadRussell] p. 112. (Contributed by Jim Kingdon, 29-Mar-2018.) |
Ref | Expression |
---|---|
simplimdc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.21 617 |
. 2
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2 | con1dc 856 |
. 2
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3 | 1, 2 | mpi 15 |
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-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709 |
This theorem depends on definitions: df-bi 117 df-stab 831 df-dc 835 |
This theorem is referenced by: pm2.5gdc 866 dfandc 884 pm4.79dc 903 |
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