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Mirrors > Home > ILE Home > Th. List > mulass | GIF version |
Description: Alias for ax-mulass 6987, for naming consistency with mulassi 7036. (Contributed by NM, 10-Mar-2008.) |
Ref | Expression |
---|---|
mulass | ⊢ ((𝐴 ∈ ℂ ∧ 𝐵 ∈ ℂ ∧ 𝐶 ∈ ℂ) → ((𝐴 · 𝐵) · 𝐶) = (𝐴 · (𝐵 · 𝐶))) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-mulass 6987 | 1 ⊢ ((𝐴 ∈ ℂ ∧ 𝐵 ∈ ℂ ∧ 𝐶 ∈ ℂ) → ((𝐴 · 𝐵) · 𝐶) = (𝐴 · (𝐵 · 𝐶))) |
Colors of variables: wff set class |
Syntax hints: → wi 4 ∧ w3a 885 = wceq 1243 ∈ wcel 1393 (class class class)co 5512 ℂcc 6887 · cmul 6894 |
This theorem was proved from axioms: ax-mulass 6987 |
This theorem is referenced by: mulid1 7024 mulassi 7036 mulassd 7050 mul12 7142 mul32 7143 mul31 7144 mul4 7145 rimul 7576 divassap 7669 cju 7913 div4p1lem1div2 8177 remim 9460 imval2 9494 |
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