Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > ex-natded5.3-2 | Structured version Visualization version Unicode version |
Description: A more efficient proof of Theorem 5.3 of [Clemente] p. 16. Compare with ex-natded5.3 27264 and ex-natded5.3i 27266. (Contributed by Mario Carneiro, 9-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
ex-natded5.3.1 | |
ex-natded5.3.2 |
Ref | Expression |
---|---|
ex-natded5.3-2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ex-natded5.3.1 | . 2 | |
2 | ex-natded5.3.2 | . . 3 | |
3 | 1, 2 | syld 47 | . 2 |
4 | 1, 3 | jcad 555 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 df-an 386 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |