Theorems · Theorem · functional analysis
RCLike.ofReal_eq_zero
∀ {K : Type u_1} [inst : RCLike K] {x : ℝ}, ↑x = 0 ↔ x = 0- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 6 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 and proof · cited by 25,697
- RCLikestatement and proof · cited by 2,829
- RCLike.ofRealstatement · cited by 350
- algebraMap.coe_eq_zero_iffproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- inner_self_eq_zeroproof · cited by 18
- Matrix.IsHermitian.isClosedEmbedding_cfcAuxproof · cited by 2
- inner_eq_norm_mul_iffproof · cited by 2
- inner_eq_norm_mul_iff_divproof · cited by 2
- RCLike.ofReal_ne_zeroproof · cited by 1
- LinearMap.injective_iff_forall_lt_finrank_singularValues_posproof · cited by 0