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Mirrors > Home > ILE Home > Th. List > chvar | Unicode version |
Description: Implicit substitution of for into a theorem. (Contributed by Raph Levien, 9-Jul-2003.) (Revised by Mario Carneiro, 3-Oct-2016.) |
Ref | Expression |
---|---|
chvar.1 | |
chvar.2 | |
chvar.3 |
Ref | Expression |
---|---|
chvar |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | chvar.1 | . . 3 | |
2 | chvar.2 | . . . 4 | |
3 | 2 | biimpd 143 | . . 3 |
4 | 1, 3 | spim 1718 | . 2 |
5 | chvar.3 | . 2 | |
6 | 4, 5 | mpg 1431 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wnf 1440 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1427 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-4 1490 ax-i9 1510 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-nf 1441 |
This theorem is referenced by: csbhypf 3069 opelopabsb 4220 findes 4562 fvmptssdm 5552 dfoprab4f 6141 dom2lem 6717 uzind4s 9501 fsumsplitf 11305 |
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