mt2d - brismu bridi

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Theorem mt2d 253

Description: Deduction form of modus tollens. (Contributed by la korvo, 1-Jan-2025.)

**Hypotheses**
Ref	Expression
mt2d.1	⊢ ganai broda gi brode
mt2d.2	⊢ ganai broda gi ganai brodi gi naku brode

**Assertion**
Ref	Expression
mt2d	⊢ ganai broda gi naku brodi

**Proof of Theorem mt2d**
Step	Hyp	Ref	Expression
1		mt2d.1	. 2 ⊢ ganai broda gi brode
2		mt2d.2	. . 3 ⊢ ganai broda gi ganai brodi gi naku brode
3	2	con2d 252	. 2 ⊢ ganai broda gi ganai brode gi naku brodi
4	1, 3	mpd 17	1 ⊢ ganai broda gi naku brodi

Colors of variables: sumti selbri bridi

Syntax hints: naku bnk 236

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-sdo 245 ax-efq 248

This theorem is referenced by: nsyl3 254