Theorem eqsym-P7r.RC 984

Description: Inference Form of eqsym-P7r 983. †

Hypothesis

Ref	Expression
eqsym-P7r.RC.1	⊢ 𝑡 = 𝑢

Assertion

Ref	Expression
eqsym-P7r.RC	⊢ 𝑢 = 𝑡

Proof of Theorem eqsym-P7r.RC

Step	Hyp	Ref	Expression
1		eqsym-P7r.RC.1	. . . 4 ⊢ 𝑡 = 𝑢
2	1	ndtruei-P3.17 182	. . 3 ⊢ (⊤ → 𝑡 = 𝑢)
3	2	eqsym-P7 936	. 2 ⊢ (⊤ → 𝑢 = 𝑡)
4	3	ndtruee-P3.18 183	1 ⊢ 𝑢 = 𝑡

Syntax hints:   = wff-equals 6  ⊤wff-true 153

This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14  ax-GEN 15  ax-L4 16  ax-L5 17  ax-L6 18  ax-L7 19

This theorem depends on definitions:  df-bi-D2.1 107  df-and-D2.2 133  df-or-D2.3 145  df-true-D2.4 155  df-rcp-AND3 161  df-exists-D5.1 596

This theorem is referenced by: (None)