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Mirrors > Home > ILE Home > Th. List > r19.2mOLD | Unicode version |
Description: Theorem 19.2 of [Margaris] p. 89 with restricted quantifiers (compare 19.2 1638). The restricted version is valid only when the domain of quantification is inhabited. (Contributed by Jim Kingdon, 5-Aug-2018.) Obsolete version of r19.2m 3509 as of 7-Apr-2023. (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
r19.2mOLD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral 2460 |
. . . 4
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2 | exintr 1634 |
. . . 4
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3 | 1, 2 | sylbi 121 |
. . 3
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4 | df-rex 2461 |
. . 3
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5 | 3, 4 | syl6ibr 162 |
. 2
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6 | 5 | impcom 125 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-ral 2460 df-rex 2461 |
This theorem is referenced by: (None) |
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