Theorems · Theorem · logic and foundations
Function.Embedding.refl_apply
∀ (α : Sort u_1) (a : α), (Function.Embedding.refl α) a = a
- Defined in
- Mathlib.Logic.Embedding.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Function.Embeddingstatement · cited by 988
- Function.Embedding.reflstatement and proof · cited by 29
Cited by11
Results whose statement or proof uses this declaration.
- Finset.Nat.antidiagonal_filter_le_fst_of_leproof · cited by 2
- Finset.Nat.antidiagonal_filter_snd_le_of_leproof · cited by 1
- YoungDiagram.mem_cellsOfRowLensproof · cited by 1
- MvPolynomial.sum_antidiagonal_card_esymm_psum_eq_zeroproof · cited by 0
- Finsupp.embDomain_reflproof · cited by 0
- Nat.fib_succ_eq_sum_chooseproof · cited by 0
- Finset.Nat.antidiagonal_filter_fst_le_of_leproof · cited by 0
- Finset.Nat.antidiagonal_filter_le_snd_of_leproof · cited by 0
- Function.Embedding.arrowCongrLeft_reflproof · cited by 0
- Int.divisorsAntidiag_negproof · cited by 0
- DedekindCut.principalIso_symm_applyproof · cited by 0