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Mirrors > Home > ILE Home > Th. List > mptxor | Unicode version |
Description: Modus ponendo tollens 2, one of the "indemonstrables" in Stoic logic. Note that this uses exclusive-or . See rule 2 on [Lopez-Astorga] p. 12 , rule 4 on [Sanford] p. 39 and rule A4 in [Hitchcock] p. 5 . (Contributed by David A. Wheeler, 2-Mar-2018.) |
Ref | Expression |
---|---|
mptxor.min | |
mptxor.maj |
Ref | Expression |
---|---|
mptxor |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mptxor.min | . 2 | |
2 | mptxor.maj | . . . 4 | |
3 | df-xor 1307 | . . . 4 | |
4 | 2, 3 | mpbi 143 | . . 3 |
5 | 4 | simpri 111 | . 2 |
6 | 1, 5 | mptnan 1354 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wa 102 wo 661 wxo 1306 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 |
This theorem depends on definitions: df-bi 115 df-xor 1307 |
This theorem is referenced by: (None) |
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