Theorems · Theorem · functional analysis
RCLike.ofReal_zero
∀ {K : Type u_1} [inst : RCLike K], ↑0 = 0- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RCLikestatement and proof · cited by 2,829
- RCLike.ofRealstatement · cited by 350
- algebraMap.coe_zeroproof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- RCLike.is_real_TFAEproof · cited by 5
- RCLike.ofReal_posproof · cited by 3
- Matrix.IsHermitian.eigenvalues_eq_zero_iffproof · cited by 1
- RCLike.ofReal_nonnegproof · cited by 1
- RCLike.ofReal_nonposproof · cited by 0
- Matrix.IsHermitian.exists_eigenvector_of_ne_zeroproof · cited by 0
- RCLike.ofReal_lt_zeroproof · cited by 0