Users' Mathboxes Mathbox for Wolf Lammen < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  wl-impchain-com-1.1 Structured version   Visualization version   GIF version

Theorem wl-impchain-com-1.1 32450
Description: A degenerate form of antecedent swapping. The number '1' in the theorem name indicates that it handles a chain of length 1.

Since there is just one antecedent in the chain, there is nothing to swap. Non-degenerated forms begin with wl-impchain-com-1.2 32451, for more see there. (Contributed by Wolf Lammen, 7-Jul-2019.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis
Ref Expression
wl-impchain-com-1.1.a (𝜓𝜑)
Assertion
Ref Expression
wl-impchain-com-1.1 (𝜓𝜑)

Proof of Theorem wl-impchain-com-1.1
StepHypRef Expression
1 wl-impchain-com-1.1.a 1 (𝜓𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem is referenced by:  wl-impchain-com-1.2  32451
  Copyright terms: Public domain W3C validator