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Metamath Proof Explorer

Theorem 1div1e1

Description: 1 divided by 1 is 1. (Contributed by David A. Wheeler, 7-Dec-2018)

Ref Expression
Assertion 1div1e1 ( 1 / 1 ) = 1

Proof

Step Hyp Ref Expression
1 ax-1cn ⊢ 1 ∈ ℂ
2 div1 ⊢ ( 1 ∈ ℂ → ( 1 / 1 ) = 1 )
3 1 2 ax-mp ⊢ ( 1 / 1 ) = 1