Theorem eqsym-P7r 983

Description: Equivalence Property: '=' Symmetry. †

This is the restatement of a previously proven result. Do not use in proofs. Use eqsym-P7 936 instead.

Hypothesis

Ref	Expression
eqsym-P7r.1	⊢ (𝛾 → 𝑡 = 𝑢)

Assertion

Ref	Expression
eqsym-P7r	⊢ (𝛾 → 𝑢 = 𝑡)

Proof of Theorem eqsym-P7r

Step	Hyp	Ref	Expression
1		eqsym-P7r.1	. 2 ⊢ (𝛾 → 𝑡 = 𝑢)
2	1	eqsym-P7 936	1 ⊢ (𝛾 → 𝑢 = 𝑡)

Syntax hints:   = wff-equals 6   → wff-imp 10

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)