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Theorem dveeq1-o16 2188
Description: Version of dveeq1 2018 using ax-16 2144 instead of ax-17 1616. (Contributed by NM, 29-Apr-2008.) TO DO: Recover proof from older set.mm to remove use of ax-17 1616. (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
dveeq1-o16
Distinct variable group:   ,

Proof of Theorem dveeq1-o16
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ax17eq 2183 . 2
2 ax17eq 2183 . 2
3 equequ1 1684 . 2
41, 2, 3dvelimh 1964 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4  wal 1540
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-12o 2142  ax-16 2144
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545
This theorem is referenced by: (None)
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