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Theorem sbid2 2084
Description: An identity law for substitution. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 6-Oct-2016.)
Hypothesis
Ref Expression
sbid2.1  F/
Assertion
Ref Expression
sbid2

Proof of Theorem sbid2
StepHypRef Expression
1 sbco 2083 . 2
2 sbid2.1 . . 3  F/
32sbf 2026 . 2
41, 3bitri 240 1
Colors of variables: wff setvar class
Syntax hints:   wb 176   F/wnf 1544  wsb 1648
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
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649
This theorem is referenced by:  sbco2  2086  sb5rf  2090  sb6rf  2091  sbid2v  2123
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